The generator matrix 1 0 1 1 1 X+2 1 1 X 1 1 2 X+2 1 X+2 1 1 1 0 1 1 2 1 1 2 X+2 2 X 0 X+2 0 X+2 1 1 1 1 1 1 1 1 1 1 2 X 1 1 2 X 2 X X 1 1 1 1 2 1 1 1 0 1 0 1 1 1 1 0 0 X+2 X 1 1 X X X+2 1 0 1 1 1 X 2 1 2 1 1 0 1 1 1 1 X 1 0 1 1 X+2 X+3 1 2 X+1 1 X 3 1 1 0 1 X+1 0 X+1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 0 X+2 2 X 0 X+2 0 X+2 X+3 1 1 1 X+3 1 1 1 1 1 2 0 X 2 X+2 1 X+1 X 2 1 X+2 X 2 X+3 1 1 1 2 1 1 1 X X+2 1 1 3 1 1 X+2 X+1 1 X 0 1 1 0 1 X+3 X+3 X X+2 1 X+3 0 0 X 0 X+2 0 X 2 X X+2 0 X+2 2 2 X 2 X X 2 X+2 X+2 X+2 2 0 0 0 X X 0 0 X X 0 0 X X 2 2 X+2 X+2 X X X+2 X+2 X+2 X+2 X X 2 2 X X+2 X+2 2 0 2 X+2 X 2 2 0 X+2 X X+2 X X 0 X 0 0 0 2 X+2 X+2 X X X+2 0 X+2 2 2 X+2 2 2 2 2 2 0 2 X+2 X 2 X 0 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+188x^87+94x^88+248x^89+72x^90+328x^91+122x^92+230x^93+59x^94+170x^95+89x^96+146x^97+27x^98+104x^99+32x^100+48x^101+1x^102+38x^103+11x^104+26x^105+1x^106+4x^107+1x^108+6x^109+1x^116+1x^128 The gray image is a code over GF(2) with n=372, k=11 and d=174. This code was found by Heurico 1.16 in 78.2 seconds.