Antiproton production in 11.7A GeV/c Au + Au collisions over a wide transverse-mass coverage was studied using the AGS-E866 experimental apparatus. The mean transverse kinetic energy increases as a function of centrality and is similar to that of protons. The antiproton yields in Si + Al, Si + Au, and Au + Au collisions are consistent with scaling with the 0.7 power of the number of participant nucleons. [S0031-9007(98)07191-9].