The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 2 X 1 1 1 1 1 1 2 2 1 1 1 X 1 1 X 1 X 1 1 2 1 2 X 1 2 1 1 2 1 0 1 X X 1 1 1 0 0 1 0 0 1 X 1 2 1 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 0 2 X X X+2 2 X+2 X 2 X X 2 2 0 X 2 X 0 X 2 2 X+2 0 X X X+2 X X 0 0 2 X X X+2 X 0 0 X+2 0 X 2 X+2 0 X X 0 X X+2 X+2 X 0 X+2 0 X X 2 X+2 2 0 X+2 X+2 2 X 0 2 X 0 0 2 2 X+2 0 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 X+2 0 2 2 X+2 X+2 0 X+2 2 0 X+2 X X+2 2 0 2 X+2 0 X X X+2 0 0 X 2 0 X X 2 X+2 2 2 2 2 X X X X 0 2 0 2 X X+2 0 X+2 X 0 2 2 X X X 2 0 2 X X 2 X 2 0 2 2 X 2 0 X+2 X 2 X+2 X 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 2 X 0 X+2 X X X+2 2 2 2 X+2 X+2 2 2 X+2 X+2 X X+2 2 2 X+2 2 0 0 X X+2 X X 0 X 0 X 0 0 X+2 0 X 2 X X+2 X+2 2 X+2 X+2 0 2 X+2 0 X X+2 2 0 X+2 X 2 X X+2 2 X+2 X X X 2 2 X+2 X X X+2 2 X 0 X 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+37x^86+84x^87+97x^88+176x^89+217x^90+232x^91+268x^92+246x^93+285x^94+334x^95+322x^96+356x^97+296x^98+214x^99+209x^100+146x^101+128x^102+110x^103+84x^104+66x^105+38x^106+32x^107+31x^108+28x^109+18x^110+14x^111+12x^112+2x^113+4x^114+2x^115+4x^117+2x^119+1x^146 The gray image is a code over GF(2) with n=384, k=12 and d=172. This code was found by Heurico 1.16 in 2.58 seconds.