The generator matrix 1 0 0 1 1 1 0 1 X X^2 1 1 X 1 X^2+X X^2 X^2+X 1 1 1 1 X 1 1 0 1 X^2+X X^2+X 1 1 1 0 1 1 X^2+X X^2+X X 1 1 1 1 1 1 1 1 1 X 0 1 1 0 1 X^2 1 0 X^2 1 1 1 X^2 1 X^2+X 1 1 0 1 1 1 1 1 X^2 0 1 1 1 0 1 1 1 X^2 0 1 0 0 1 1 1 X 1 X^2+X 1 X^2+X 1 X+1 X^2 1 1 X^2+1 X^2 X^2+X+1 X 1 0 X+1 1 X 1 X^2+X X+1 X^2+X X^2+1 0 X^2 X^2+X+1 1 1 X^2 X^2 1 X 1 X^2+1 1 X^2+X 0 X^2+X X^2 X^2+X X^2+X+1 X 1 0 1 X^2+X 1 1 X+1 X+1 X^2+X+1 X 0 X^2+X X^2+1 X+1 1 X X^2+X X^2+X+1 X^2+1 X 1 X X+1 X^2+X X X^2 0 X X+1 1 0 0 1 X+1 X^2+X+1 0 X+1 1 X^2 1 X^2+1 0 1 X 1 X X+1 X X^2+1 X^2+1 X^2+X X X X+1 X+1 1 X^2+X+1 1 0 X+1 X^2 1 X X 1 X^2+X 1 X^2+X X+1 1 X^2+X+1 0 X X^2+X 1 X^2 1 1 X^2 X^2 X^2 1 1 X X^2 1 X+1 X^2 X^2 1 X^2 1 X^2 X+1 X+1 X^2 X X^2+1 X^2 X^2 X+1 1 1 0 X^2+1 1 X+1 0 X^2+X X^2+X 0 0 0 X^2 0 0 0 0 0 0 X^2 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 X^2 X^2 X^2 0 X^2 0 0 0 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 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 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 X^2 X^2 0 0 0 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 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 generates a code of length 80 over Z2[X]/(X^3) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+425x^74+709x^76+730x^78+765x^80+548x^82+381x^84+232x^86+153x^88+101x^90+37x^92+6x^94+6x^98+1x^100+1x^104 The gray image is a linear code over GF(2) with n=320, k=12 and d=148. This code was found by Heurico 1.16 in 81.4 seconds.