The generator matrix 1 0 0 0 0 1 1 1 2 1 1 0 1 X+2 1 X+2 X+2 1 1 2 1 X+2 0 1 1 1 0 1 X+2 2 1 1 X 1 1 1 0 1 X+2 1 2 1 X+2 X+2 1 X+2 1 1 1 2 0 1 2 1 X 0 1 1 X+2 1 1 1 X+2 1 1 2 2 0 2 X X+2 1 1 2 1 1 1 1 X+2 2 X 1 0 2 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 3 1 X+3 1 2 2 0 1 X X 2 X X+3 X+3 1 X+3 1 X X+2 3 1 X+2 1 X+3 1 X X+2 0 2 X+3 1 1 X X+2 1 1 X+2 1 1 X+3 0 X+1 1 X 1 X 1 X+3 X+3 2 X 2 2 1 X+2 1 X X 1 3 X+1 1 1 3 0 X 1 2 2 2 1 2 3 2 2 X+1 1 1 X+3 1 3 0 0 1 0 0 0 1 1 1 3 1 2 X 1 X+2 X+3 1 X+2 X X+1 1 0 1 X+1 0 X+3 3 2 0 X+2 1 2 2 X 1 X X+3 X+3 1 0 2 X+3 X 0 3 1 X+3 X 2 X+2 3 X X 1 3 X X 0 0 X+3 X+2 X+1 1 X+3 3 X+1 1 1 1 0 3 2 3 X+1 X+3 1 2 X+3 3 1 1 1 X X+2 3 X+2 3 X+2 X 3 X 2 2 0 0 0 1 0 1 1 0 3 2 X+1 X+3 X+2 3 3 2 X+1 X X+1 X X+2 1 0 1 3 X+1 X+1 X+2 X+3 X 2 3 2 X+1 2 2 1 2 1 X+1 1 0 X+1 X+2 3 2 X+1 0 X+1 3 X X+3 1 X X 1 X 0 0 3 X+3 2 2 X+3 X X+3 3 0 X+1 1 X+1 1 X X 3 3 X+1 X+2 X X X+3 1 X+3 2 X 1 X+1 3 0 1 3 X+3 0 0 0 0 0 1 1 2 3 1 0 X+1 X+3 X+1 0 0 X+1 2 1 0 2 0 1 X+3 X+3 X+3 X+2 3 X X 1 X+1 X 3 3 X 1 1 0 X+1 X X+2 1 1 0 2 X+3 2 0 X+3 X+1 X+1 X X+3 2 X+2 2 0 X 3 1 X+3 X 1 X+1 3 X+1 X X X X+1 X+2 2 1 X+2 X+3 3 2 1 1 2 1 X 0 1 X+1 3 2 X+2 2 X+3 X+3 1 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 0 2 0 2 0 2 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+373x^82+656x^83+1178x^84+1768x^85+2379x^86+2708x^87+3579x^88+3410x^89+4563x^90+4588x^91+5284x^92+4500x^93+5490x^94+4594x^95+4713x^96+3766x^97+3521x^98+2492x^99+2103x^100+1352x^101+1077x^102+570x^103+375x^104+230x^105+123x^106+62x^107+34x^108+12x^109+6x^110+8x^111+12x^112+2x^113+4x^114+2x^115+1x^116 The gray image is a code over GF(2) with n=372, k=16 and d=164. This code was found by Heurico 1.13 in 99.9 seconds.