The generator matrix 1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 1 1 0 X 1 0 X 1 0 1 X 1 X 1 1 0 X X 1 1 X 1 1 X 1 1 X X 1 1 1 0 1 X 0 X 1 X 1 1 1 X X 1 X 0 1 0 0 1 1 1 1 0 0 X 1 1 0 1 0 X 0 1 1 1 1 X X 1 1 1 1 X 0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 0 X X 1 X+1 0 1 1 1 X+1 1 0 X X+1 X 1 1 1 0 X X 1 0 X 0 1 X 0 X+1 X 1 1 0 1 1 1 1 1 0 0 X+1 1 0 X+1 0 1 X 1 X X+1 X 1 1 1 1 X X+1 0 1 0 1 0 X 0 X 1 0 1 1 1 X 0 X X 0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 1 X 0 X+1 X+1 1 1 0 X 0 X 0 1 X+1 0 X+1 X+1 X X X+1 1 1 X 1 1 X+1 1 0 1 X X 1 X+1 X+1 X 0 X+1 0 1 1 X+1 0 0 X 1 0 X+1 X+1 1 X+1 0 X 0 1 X+1 1 X+1 X+1 1 0 0 1 1 0 0 X 1 X+1 1 X X 0 1 1 0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X X+1 0 1 0 X+1 1 1 X+1 0 X 1 1 X X+1 0 X X+1 X X+1 X X 0 1 X+1 X X+1 0 1 X 1 X+1 X+1 X+1 X X X+1 1 X X 1 1 X+1 1 0 1 X+1 0 X+1 1 0 1 X X+1 1 1 0 1 X+1 0 X+1 1 X 0 X+1 1 X+1 X 1 X 1 X+1 X+1 1 X+1 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X X 0 X X 0 X X X X 0 X X 0 0 X 0 X X 0 X X 0 X 0 0 0 0 0 X X X 0 X X X X X 0 X 0 0 X 0 0 0 X X 0 X 0 0 X 0 X X X 0 X X X X X X 0 X 0 X 0 X 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 X X X X X X X X X 0 X 0 X X 0 0 X X X 0 0 0 X X 0 X X X 0 0 0 X X 0 X 0 X 0 X X 0 X X X 0 0 X 0 X X X X 0 0 X 0 X 0 0 X 0 X X X X 0 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 0 0 0 0 0 0 X 0 X X X X X X X X X X X X X X X X X X X X 0 X X 0 X 0 X X X X X X X X X 0 X 0 0 X 0 X X X X 0 X X X 0 0 0 0 generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+62x^81+125x^82+122x^83+120x^84+156x^85+151x^86+136x^87+120x^88+96x^89+122x^90+118x^91+101x^92+72x^93+88x^94+58x^95+42x^96+68x^97+41x^98+48x^99+26x^100+34x^101+31x^102+22x^103+26x^104+22x^105+16x^106+8x^107+9x^108+2x^109+2x^110+3x^112 The gray image is a linear code over GF(2) with n=180, k=11 and d=81. This code was found by Heurico 1.16 in 50.3 seconds.