The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X X^2 X 1 1 1 1 1 1 1 1 1 1 X^2 X 1 1 X 0 X^2+X 1 X 1 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 0 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X X+1 X^2+1 0 X^2+X 0 X^2+X 1 1 X^2+X+1 1 X^2+X 1 1 X^2+1 1 X^2+X X^2+X X^2+X 1 X+1 X^2+X 1 X^2+1 X^2+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X X^2 X^2+1 0 X^2+X+1 1 X+1 X^2 X^2 1 1 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X 0 X^2+X 0 X^2 X^2+X X^2+X X^2 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X 0 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X 0 X^2+X X X^2+X X 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2+X X^2 X X X^2+X X^2 X X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 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 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 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 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+104x^68+124x^69+246x^70+156x^71+239x^72+104x^73+210x^74+136x^75+193x^76+124x^77+130x^78+92x^79+84x^80+32x^81+42x^82+10x^84+8x^86+6x^88+4x^90+2x^96+1x^100 The gray image is a linear code over GF(2) with n=296, k=11 and d=136. This code was found by Heurico 1.16 in 0.498 seconds.