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 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 X^2 1 X 1 1 X 0 1 1 X^2 1 1 X 1 X 1 1 1 X 1 X^2 1 X^2 1 X^2 X 1 X X 1 X 0 X 0 0 0 X^2 0 X^2 0 X^2+X X X^2+X X X X X 0 0 X^2 X^2 X^2+X X X^2+X X X^2 X X^2+X X^2+X 0 X^2 X X^2 X^2 0 0 X X X^2 X^2 0 X^2+X X X X 0 X^2+X 0 X X^2+X X^2 0 X^2+X 0 X^2 X^2 X^2+X 0 X^2+X X^2+X 0 X 0 X^2 0 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2 X X X^2+X 0 X 0 X^2 0 X^2 X^2+X 0 X^2 X X X^2 X 0 X^2 X^2+X X^2 X X 0 0 X 0 0 X^2 X X X^2+X X X X^2 X X^2+X X^2 X^2 0 X^2 X X X^2+X X^2+X 0 X^2 0 X 0 0 X X^2+X X^2+X 0 0 X X^2+X X X^2 X^2+X X 0 X X^2 X^2+X 0 0 0 X^2 X^2+X X^2+X X^2 0 0 X^2 X X^2 X^2+X 0 X^2 X X X^2 X 0 X^2 X^2+X X X X X^2+X X X X^2 X 0 X^2 X X^2 X 0 X^2 X^2+X X^2+X X^2 X X 0 0 X^2 X^2 X^2+X X X X^2+X 0 0 0 0 X 0 X X X^2+X X^2 X^2 X^2 X^2 X X X^2+X X 0 X^2+X X 0 X^2 X^2+X X^2+X 0 X^2+X X^2+X X^2 X X^2+X X^2 X^2 X^2 X^2 0 X^2 X X X^2+X X X^2+X X^2 0 X^2+X X^2 X^2+X X^2+X X^2 0 X^2+X X^2+X X X 0 X^2+X 0 X X 0 0 0 X^2+X X X X X^2+X X X X^2+X 0 X^2+X 0 X^2 X^2+X X X^2 X 0 X^2 X^2+X X^2 X X X^2+X X X 0 X^2+X 0 X 0 X^2+X X^2+X X^2 X^2+X 0 0 0 0 X X X^2 X X^2+X X^2+X X^2 X^2+X X 0 0 X^2+X X^2 X X X^2 X^2 X^2+X X 0 X^2 0 X 0 0 X^2+X X X^2+X 0 X X^2 X^2+X X X X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2 X^2+X X 0 0 0 X^2 X X^2+X X^2+X 0 X^2+X 0 0 X^2+X X X X X X X^2 X^2+X X X^2+X 0 X^2 X^2 X X X^2 X^2 X^2+X 0 0 X^2 X 0 X^2 X^2 X^2 X^2 X X^2 X^2 X^2 X X 0 X^2 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+74x^86+4x^87+178x^88+60x^89+236x^90+60x^91+214x^92+124x^93+294x^94+140x^95+153x^96+68x^97+128x^98+52x^99+92x^100+4x^101+72x^102+47x^104+18x^106+14x^108+8x^110+4x^112+2x^114+1x^152 The gray image is a linear code over GF(2) with n=376, k=11 and d=172. This code was found by Heurico 1.16 in 0.916 seconds.