The generator matrix 1 0 1 1 X^2 1 1 1 X^2+X 1 1 0 X^3+X 1 1 1 1 X^2 1 1 X^3 1 1 X^3 1 1 X 1 1 X^3+X^2+X 1 X^3+X 1 0 1 1 1 X^2+X 1 1 X^2+X 0 1 X^3+X X^3+X 1 1 1 X^3 X^2 1 1 X^2 X^3+X^2+X 1 1 X^2 X^3+X^2+X 1 1 X^3+X^2+X 1 X X^3+X^2+X X^3 X^3+X^2 X^2 X^3 X X 1 X^3 X X^3+X^2+X 1 1 X^3 X^3+X^2 X^2 1 1 0 1 1 1 X 1 1 1 1 1 1 1 0 1 1 X^2+X 1 X^2+X+1 X^2 X^3+1 1 X+1 X^3+X^2+X 1 1 0 X^3+X^2+1 X^3 X^3+1 1 X^2+X X+1 1 X X+1 1 X^2 X^2+1 1 X^3+X^2+X+1 X^3+X^2 1 1 1 X 1 X^3+X X^3+X+1 X^3+X^2 1 X^3+X X^3+X 1 1 X^3+1 1 1 X^3+1 X^3 X^3+X^2+X+1 1 X X^3+X^2+X+1 X^2+1 1 1 X^2 X^3+X^2+X 1 1 X^3 X^3+X^2+X+1 1 X^2+X 1 1 1 1 1 1 1 1 X^2+X 1 1 1 X^2+1 X^3+X+1 1 1 1 X^3+X+1 X 1 X^2 X^2 X 1 X^2+1 1 X^3+X^2+X X^2+X X+1 X^2+1 0 0 0 X 0 X^3+X X X^3+X X^3 0 X^3 X^3+X X^3+X^2+X X^2 X^3+X^2 X^3+X^2 X^3+X^2+X X^3+X^2+X X^2+X X^2+X X^2 X^3+X X^2 X^2+X X^2 X^2 X^2+X X X^3+X^2 X^2+X X^3 X^2 X^3+X^2+X X^3+X^2+X X^3 X^3 X^3+X 0 X X X^3+X^2 X^2 X^3+X^2 X^2+X X^2+X 0 X^3 X 0 X^3+X^2+X X^3+X^2 X^2+X X X^3+X^2 X^3+X^2+X X^3+X^2 0 X^2+X X^2+X X^3+X^2 0 X X^2+X X^2 X^3+X^2 X X^3+X^2 X 0 X^3 X X^3+X X^2 0 X^3+X^2+X X^3+X^2 X^3+X X^3+X X^2+X 0 X^2 X^2+X X^3 X^3+X X^2+X X^2 X^2+X X^2+X X^3+X X^3+X^2 X X^3+X^2+X X^3+X 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 0 0 0 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+48x^88+438x^89+494x^90+592x^91+380x^92+364x^93+393x^94+514x^95+386x^96+306x^97+57x^98+60x^99+16x^100+16x^101+10x^102+2x^103+4x^105+1x^106+8x^109+4x^110+1x^128+1x^134 The gray image is a linear code over GF(2) with n=744, k=12 and d=352. This code was found by Heurico 1.16 in 1.22 seconds.