The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 0 X 1 1 X 1 X 1 0 1 X 0 0 1 1 1 1 X X 1 X 1 X 0 X 1 X 1 X 1 1 X 1 0 X X 1 1 1 1 1 X 1 1 X 0 X 1 1 X 1 0 1 1 X 0 X X 0 1 X X 1 1 X X X 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 X X X 0 X X X 0 0 0 0 X X 0 0 X X X 0 X 0 0 0 X 0 0 X X 1 1 1 1 1 X+1 1 X+1 X+1 1 1 1 1 1 1 1 1 X+1 X+1 1 0 1 1 1 1 X+1 X 0 X 1 X+1 1 1 0 1 1 1 X+1 1 X X+1 1 0 1 X X X+1 1 0 X X 0 X 1 X 1 0 0 1 0 0 0 0 0 0 X 0 0 0 X X X X 1 1 X+1 1 1 1 1 1 X+1 1 X+1 X+1 1 1 1 1 1 X X X+1 0 X+1 0 X 1 X+1 0 X+1 X+1 X X+1 X+1 0 0 0 X+1 1 X 0 X 0 X+1 X 1 1 X+1 X 0 X 0 0 0 X X+1 0 1 1 1 X 1 X 0 1 X X 0 0 1 1 X 0 0 X 0 0 0 1 0 0 0 0 X 0 X+1 1 1 1 X+1 X+1 1 1 1 0 X 0 X+1 1 X 0 X+1 1 1 1 0 X X 1 0 X+1 1 X+1 X X+1 X+1 X+1 0 X X 0 X X+1 X+1 X X 1 1 X 0 0 1 0 1 0 0 X 1 X+1 X X 1 1 0 X X+1 0 0 0 0 1 X+1 X+1 0 1 X 1 X 1 X+1 1 X 0 X X 0 0 0 0 1 0 0 X+1 X+1 1 1 X 1 0 X+1 X X+1 X+1 1 X+1 X+1 X 1 X 1 1 X 0 X+1 0 0 0 0 0 X+1 X X X+1 1 1 1 0 X+1 X+1 X 1 0 1 1 1 X+1 X 0 X X X 1 X 1 X X+1 1 1 0 0 X+1 0 X 1 0 1 1 X+1 0 0 X+1 0 X X X X 0 X X 0 0 1 1 1 0 0 0 0 0 0 1 1 X+1 X X+1 0 1 0 X+1 X+1 0 1 0 X X X 0 1 X+1 1 X+1 X+1 0 X+1 0 1 X+1 X X+1 X X 0 0 X+1 X+1 0 X 0 1 0 X X+1 1 X+1 X X+1 X+1 X X+1 X+1 1 1 X X 0 1 0 X X+1 1 X+1 X+1 1 X 1 0 X 1 1 X+1 1 0 1 1 1 X+1 1 1 X 1 1 0 0 X+1 X+1 generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+213x^80+432x^82+461x^84+482x^86+418x^88+384x^90+360x^92+356x^94+343x^96+212x^98+194x^100+112x^102+69x^104+24x^106+17x^108+14x^110+4x^112 The gray image is a linear code over GF(2) with n=180, k=12 and d=80. This code was found by Heurico 1.16 in 17.8 seconds.