N.M. Admin. Code § 13.21.5.21
Any request for issuance of subpoenas in matters subject to these rules shall be guided by Rule 45 of the rules of civil procedure for the district courts of New Mexico, except where provisions of that rule conflict with the powers of the superintendent. Any subpoena issued shall be in the name of the superintendent. The party requesting the subpoena shall prepare a proposed subpoena, submit the proposed subpoena to each other party and to the advisory board for approval, and shall timely and reasonably serve the subpoena on the person or entity subject to the subpoena. Unless good cause is shown for a shorter period, a subpoena shall provide at least 10 days-notice before compelled attendance at a hearing or deposition, and at least 10 days-notice before compelled production of materials. All returns or certificates of service on served subpoenas shall be filed in the docket of the proceeding, copied to the opposing party, and shall be made part of the record of the proceeding.
N.M. Admin. Code § 13.21.5.21