The generator matrix 1 0 1 1 1 X 1 1 X^2 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X 1 1 X^2 1 1 0 1 1 X 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X X X X^2 0 X X^2 X X 0 1 1 1 1 1 1 1 1 X 0 X X^2 X^2 X 0 X^2+X X 0 X X^2 X^2 0 X X^2+X 1 0 1 1 X^2 X+1 1 X X^2+1 1 0 1 1 X^2+X X^2+X+1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 X^2 X^2+X+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X 1 1 X 1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X X 0 X^2 0 X^2+X 0 X X+1 X^2+1 X+1 X^2+1 X^2+X+1 1 X^2+X+1 1 0 X^2 X X 1 1 1 1 X^2+X X 0 X^2 1 1 1 1 0 0 0 X X^2+X X^2 X^2+X X 0 X X^2 X^2+X X^2 0 X 0 X^2 X^2+X X^2 X 0 X^2+X X^2+X X^2 X X^2 X^2 X^2 X^2+X X^2+X X X^2+X X^2+X 0 0 0 X^2+X X^2 X^2 X^2+X 0 0 X X X 0 X X X^2 X X X X X^2+X X X^2+X X^2 X 0 0 X^2 X^2 X^2 X^2 0 0 X^2+X X X^2+X X^2+X X X 0 0 X X^2+X X X 0 X^2 0 X^2 0 generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+32x^80+32x^81+122x^82+32x^83+29x^84+4x^86+1x^94+1x^96+1x^102+1x^108 The gray image is a linear code over GF(2) with n=328, k=8 and d=160. This code was found by Heurico 1.16 in 0.283 seconds.