N.M. Stat. § 4-41-19
County peace officers and constables; mileage;
conditions.
A. Peace officers and constables shall be allowed mileage or the distance actually
and necessarily traveled by privately owned conveyance in serving any judicial process.
B. In serving any jury venire, a sheriff, deputy sheriff, constables [constable] or other
county peace officer shall charge for the actual mileage traveled and necessary in
providing service of jury venire.
C. If more than one peace officer or constable travels in one privately owned
conveyance in the performance of official business, only the officer owning the
conveyance used shall be reimbursed.