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 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 X^2 1 1 1 1 1 1 1 1 1 X 1 X^2 1 1 X 1 0 X 0 X 0 0 X X X^2 0 X X^2+X X^2 0 X X^2+X 0 0 X X^2+X 0 X^2 X X X 0 X^2 X^2+X X^2 X X^2 X X^2 X^2+X X^2 X^2+X X^2+X X^2 X^2+X 0 X X^2 X^2 X^2+X X X^2 X^2+X X^2 X^2 X^2+X 0 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X 0 X^2 0 X^2 X^2+X 0 X^2+X X^2 0 0 X^2 X^2 0 0 X^2 0 X^2+X X 0 X X X^2+X X^2+X X^2+X 0 0 X X 0 X^2+X X 0 X 0 X^2+X X^2 X 0 X^2+X X^2 X 0 X 0 X^2 X 0 X^2+X X 0 X 0 X^2 0 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X 0 X^2 X X^2 X 0 X X^2 X^2 X^2+X X^2+X 0 X X X 0 X^2+X X^2 0 0 X^2 0 X X X^2 X^2+X X^2 X X^2 X^2 0 0 0 X^2 X^2+X X X^2 0 X^2+X X^2+X X^2+X X 0 X^2 X^2+X 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 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 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 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 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+34x^76+40x^77+57x^78+122x^79+97x^80+120x^81+161x^82+92x^83+84x^84+82x^85+27x^86+34x^87+30x^88+12x^89+10x^90+8x^91+10x^92+2x^93+1x^154 The gray image is a linear code over GF(2) with n=328, k=10 and d=152. This code was found by Heurico 1.16 in 0.478 seconds.