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 X^2 0 X^2+X 1 1 1 X 0 1 X 0 X X^2 X X^2 X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X^2 1 1 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 1 1 1 X^2+X+1 1 X+1 1 1 1 1 1 1 1 1 1 1 1 1 X^2+X+1 1 X^2+1 0 X+1 X^2 X^2+X X^2+X X^2+X+1 X 1 1 X^2+1 X^2+X 1 X^2+X X^2+X+1 0 X^2+1 X^2+X+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 X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X 0 0 X^2+X X^2+X X^2+X X X X^2+X X X X^2+X X^2+X 0 X^2 X X X^2 X^2 0 X^2 X^2+X X^2+X X^2+X 0 X^2 X^2 X^2 X^2+X 0 X 0 X^2+X X^2+X X X^2+X X^2+X X^2+X X X^2 X^2 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 X^2 0 0 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 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 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 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 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 0 0 X^2 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 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 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+128x^76+128x^77+274x^78+168x^79+201x^80+80x^81+170x^82+112x^83+153x^84+160x^85+202x^86+104x^87+94x^88+16x^89+10x^90+22x^92+12x^94+7x^96+4x^98+1x^112+1x^116 The gray image is a linear code over GF(2) with n=328, k=11 and d=152. This code was found by Heurico 1.16 in 0.703 seconds.