At least from what I am reading here
http://www.law.cornell.edu/rules/frcrmp/Rule6.htm(e) Recording and Disclosing the Proceedings.
(1) Recording the Proceedings.
Except while the grand jury is deliberating or voting, all proceedings must be recorded by a court reporter or by a suitable recording device. But the validity of a prosecution is not affected by the unintentional failure to make a recording. Unless the court orders otherwise, an attorney for the government will retain control of the recording, the reporter's notes, and any transcript prepared from those notes.
(2) Secrecy.
(A) No obligation of secrecy may be imposed on any person except in accordance with Rule 6(e)(2)(B).
(B) Unless these rules provide otherwise, the following persons must not disclose a matter occurring before the grand jury:
(i) a grand juror;
(ii) an interpreter;
(iii) a court reporter;
(iv) an operator of a recording device;
(v) a person who transcribes recorded testimony;
(vi) an attorney for the government; or
(vii) a person to whom disclosure is made under Rule 6(e)(3)(A)(ii) or (iii).
(3) Exceptions.
(A) Disclosure of a grand-jury matter -- other than the grand jury's deliberations or any grand juror's vote -- may be made to:
(i) an attorney for the government for use in performing that attorney's duty;
(ii) any government personnel -- including those of a state or state subdivision or of an Indian tribe -- that an attorney for the government considers necessary to assist in performing that attorney's duty to enforce federal criminal law; or
(iii) a person authorized by 18 U.S.C. § 3322.
(B) A person to whom information is disclosed under Rule 6(e)(3)(A)(ii) may use that information only to assist an attorney for the government in performing that attorney's duty to enforce federal criminal law. An attorney for the government must promptly provide the court that impaneled the grand jury with the names of all persons to whom a disclosure has been made, and must certify that the attorney has advised those persons of their obligation of secrecy under this rule.
(C) An attorney for the government may disclose any grand-jury matter to another federal grand jury.
(D) An attorney for the government may disclose any grand-jury matter involving foreign intelligence, counterintelligence (as defined in 50 U.S.C. § 401a), or foreign intelligence information (as defined in Rule 6(e)(3)(D)(iii)) to any federal law enforcement, intelligence, protective, immigration, national defense, or national security official to assist the official receiving the information in the performance of that official's duties.
(i) Any federal official who receives information under Rule 6(e)(3)(D) may use the information only as necessary in the conduct of that person's official duties subject to any limitations on the unauthorized disclosure of such information.
(ii) Within a reasonable time after disclosure is made under Rule 6(e)(3)(D), an attorney for the government must file, under seal, a notice with the court in the district where the grand jury convened stating that such information was disclosed and the departments, agencies, or entities to which the disclosure was made.
(iii) As used in Rule 6(e)(3)(D), the term ÍÍforeign intelligence information'' means:
(a) information, whether or not it concerns a United States person, that relates to the ability of the United States to protect against --
actual or potential attack or other grave hostile acts of a foreign power or its agent;
sabotage or international terrorism by a foreign power or its agent; or
clandestine intelligence activities by an intelligence service or network of a foreign power or by its agent; or
(b) information, whether or not it concerns a United States person, with respect to a foreign power or foreign territory that relates to --
the national defense or the security of the United States; or
the conduct of the foreign affairs of the United States.
(E) The court may authorize disclosure -- at a time, in a manner, and subject to any other conditions that it directs -- of a grand-jury matter:
(i) preliminarily to or in connection with a judicial proceeding;
(ii) at the request of a defendant who shows that a ground may exist to dismiss the indictment because of a matter that occurred before the grand jury;
(iii) at the request of the government if it shows that the matter may disclose a violation of state or Indian tribal criminal law, as long as the disclosure is to an appropriate state, state-subdivision, or Indian tribal official for the purpose of enforcing that law; or
(iv) at the request of the government if it shows that the matter may disclose a violation of military criminal law under the Uniform Code of Military Justice, as long as the disclosure is to an appropriate military official for the purpose of enforcing that law.
(F) A petition to disclose a grand-jury matter under Rule 6(e)(3)(E)(i) must be filed in the district where the grand jury convened. Unless the hearing is ex parte -- as it may be when the government is the petitioner -- the petitioner must serve the petition on, and the court must afford a reasonable opportunity to appear and be heard to:
(i) an attorney for the government;
(ii) the parties to the judicial proceeding; and
(iii) any other person whom the court may designate.
(G) If the petition to disclose arises out of a judicial proceeding in another district, the petitioned court must transfer the petition to the other court unless the petitioned court can reasonably determine whether disclosure is proper. If the petitioned court decides to transfer, it must send to the transferee court the material sought to be disclosed, if feasible, and a written evaluation of the need for continued grand-jury secrecy. The transferee court must afford those persons identified in Rule 6(e)(3)(F) a reasonable opportunity to appear and be heard.