The generator matrix 1 0 0 1 1 1 0 1 X X^2 1 1 X^2+X 1 1 X^2 1 X 0 1 1 X 1 X 1 1 X 1 1 1 X 0 1 1 1 1 1 X 0 1 X^2+X X^2+X X^2+X X^2+X 1 X^2 0 1 1 1 0 X^2 1 1 1 1 X 1 1 1 X^2 1 1 X^2+X X^2 1 1 1 X^2+X 1 1 X^2 X^2+X 0 1 X 1 X^2 1 1 0 1 1 1 1 1 1 1 1 1 1 X^2 X 0 1 0 1 0 0 1 1 1 X 1 X^2+X X^2+X X^2+1 1 X+1 X^2 1 X^2+X+1 0 1 X+1 X^2 X^2+X X^2+X 1 X^2+X+1 X 1 1 X^2+1 1 1 1 X^2+X 0 X^2+1 X^2+X X 1 1 X^2+X+1 1 0 1 1 X+1 1 0 X+1 X^2+1 0 X^2+X X^2 X^2+X+1 X^2+X X^2+X+1 1 1 X^2 X+1 X^2 1 X X^2+X+1 X^2+X 1 0 X^2+X X 0 X^2 X^2+1 1 1 1 X^2+1 X^2 1 1 X^2+X+1 X^2 0 X+1 X 0 X+1 X^2+X+1 X^2+X X^2+X+1 X^2 X^2+X+1 X+1 1 1 1 1 0 0 1 X+1 X^2+X+1 0 X+1 1 X^2 1 0 1 1 0 X^2+1 X 1 1 X^2+1 X X^2+X 1 X^2+X+1 X^2+X+1 X^2+X+1 X X^2+X X^2+X X 1 X^2+X X+1 X+1 X 0 1 X^2 0 X^2+1 X^2+X+1 X^2+1 1 X^2 X 1 X^2+1 1 X^2 1 0 1 1 X^2+X X X^2+X+1 X+1 X^2+X+1 1 X^2 X^2+X 0 X+1 X^2+X+1 1 1 1 X+1 X^2+1 1 X^2+X X^2+1 0 X^2+1 0 X+1 1 0 X^2+1 X^2+1 X^2+X+1 1 X^2 X^2+X 1 X^2+X+1 X+1 X^2 0 X X^2+X+1 1 X+1 1 X^2+X+1 1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+69x^88+260x^89+344x^90+404x^91+410x^92+336x^93+377x^94+280x^95+215x^96+248x^97+226x^98+228x^99+171x^100+120x^101+109x^102+68x^103+62x^104+52x^105+24x^106+40x^107+27x^108+8x^109+5x^110+4x^111+5x^112+2x^114+1x^118 The gray image is a linear code over GF(2) with n=380, k=12 and d=176. This code was found by Heurico 1.16 in 1.56 seconds.