The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 0 X 1 X 1 1 1 X 0 0 0 1 1 1 1 1 1 0 X X X 1 1 1 1 0 1 X 0 0 1 0 X 1 1 1 0 1 1 1 X 1 X X 0 1 0 0 X 1 0 X 1 1 0 1 X X 1 1 1 X 0 X 1 1 0 1 X 0 X X X 0 1 0 0 0 0 0 0 0 X 0 0 X X X 0 1 1 1 1 1 1 1 1 1 X 1 1 1 X+1 X+1 1 X+1 1 1 1 1 X 0 X+1 0 X 1 X 1 1 1 1 1 X 1 0 X X X 1 X+1 X 0 1 0 0 X+1 1 1 1 X+1 1 X X X+1 0 X+1 X 0 X+1 1 1 0 0 0 1 X+1 1 X 1 0 0 1 X 0 0 1 0 0 0 1 X 0 0 1 X+1 1 X+1 1 1 0 X+1 X X X+1 1 X+1 0 X+1 1 X 1 X 1 0 1 X X+1 1 0 1 1 X+1 X+1 0 X+1 1 X X 0 X X X+1 X 1 1 0 1 X+1 0 0 X 1 X+1 1 1 X+1 X 0 0 0 X+1 0 1 1 0 X X 0 X+1 1 X 1 0 X X+1 0 X+1 X X X 0 X+1 0 0 0 0 1 0 1 1 1 X 1 X X X X+1 X+1 1 1 X+1 X+1 0 0 1 0 X+1 X+1 0 0 X X 0 1 0 X+1 X+1 X+1 X+1 X 1 1 1 X+1 0 0 X 0 0 1 X+1 X+1 1 0 X X 1 X 0 1 1 X+1 0 X+1 X X+1 X+1 0 1 X X 1 X+1 0 0 0 1 1 X 1 0 X 1 1 0 X+1 1 1 X 1 X X 0 0 0 0 0 1 1 0 0 1 1 X X+1 1 1 X 1 X X+1 1 0 1 X X X 0 0 1 0 X+1 1 X+1 0 0 X+1 1 X+1 X 0 X+1 0 1 X X+1 0 X 1 1 X 1 X X+1 1 0 X+1 X X+1 X+1 0 X+1 0 X+1 X+1 1 X X+1 X 1 X+1 1 X+1 1 1 X+1 X 0 1 1 1 1 1 X 1 X X 0 X+1 1 1 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X 0 X X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 X X 0 X X X 0 X X X X X 0 0 0 X 0 0 0 X 0 X X X X X 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 X 0 0 X X X 0 X X 0 X 0 X 0 X 0 X X 0 X X X X X 0 0 X X X X X 0 X 0 0 X 0 0 X X X 0 0 0 X 0 0 X X X X X 0 0 0 X 0 X 0 0 X 0 0 X 0 X X 0 X 0 0 X X 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+351x^80+148x^82+700x^84+248x^86+650x^88+226x^90+562x^92+156x^94+427x^96+128x^98+256x^100+88x^102+106x^104+26x^106+18x^108+4x^110+1x^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 68.1 seconds.