The generator matrix 1 0 0 1 1 1 0 1 X+2 X 1 X 1 1 1 X 2 1 1 X 1 1 0 1 2 1 1 2 X+2 1 1 1 X 2 X+2 1 1 0 1 X 1 2 X 1 1 1 1 0 2 0 1 1 1 1 1 1 X 1 1 1 1 X 2 1 X X 1 X+2 1 X+2 1 1 1 1 X+2 0 2 X+2 1 2 1 2 1 1 0 1 0 1 X+2 1 X 1 1 1 2 1 0 1 0 0 1 1 1 X 1 X+2 X+2 1 3 3 X 1 X 2 X+3 1 X+1 0 1 X 2 X+3 1 1 2 X+1 X+3 X+2 1 1 1 0 0 X 3 2 X+2 1 1 1 X+1 1 X+2 1 X+2 1 3 X+2 3 X+2 1 3 1 2 X+3 2 X+2 1 X 0 X+2 0 X+1 1 1 1 3 X+1 X+3 2 2 1 2 1 2 X X+2 1 1 X+1 1 3 1 X+2 1 1 1 3 1 X 1 X+2 0 0 1 X+1 X+3 0 X+1 3 2 1 0 1 1 X+2 X+3 X 1 X 2 X+1 3 3 X+2 X+2 1 2 1 3 1 X+3 X 2 3 0 2 1 0 1 0 1 1 X+1 X X+2 X+1 2 3 3 1 X+2 3 X+2 X+1 X+1 X X+1 X+1 X+1 3 X 0 1 1 2 1 1 X+1 X+1 X+1 1 X+1 3 2 X+1 1 X+3 1 3 2 1 0 X+2 X+3 0 X 0 X+3 3 X 1 X 3 X X+3 X+1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 0 2 2 0 2 0 0 0 0 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 2 2 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+138x^89+254x^90+384x^91+278x^92+386x^93+350x^94+370x^95+230x^96+320x^97+241x^98+278x^99+165x^100+144x^101+132x^102+140x^103+46x^104+70x^105+32x^106+32x^107+44x^108+30x^109+14x^110+10x^111+3x^112+1x^114+2x^115+1x^116 The gray image is a code over GF(2) with n=384, k=12 and d=178. This code was found by Heurico 1.16 in 1.62 seconds.