The generator matrix 1 0 0 1 1 1 0 1 1 1 1 X X 0 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 0 1 1 0 X 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 X 0 1 1 1 X X 1 1 1 1 X 1 0 0 1 1 1 X 1 0 0 X 1 1 1 X 0 1 1 0 0 1 1 1 1 X 0 0 1 1 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 1 0 X 0 X+1 1 X+1 1 1 0 X+1 1 0 0 1 1 X X X 1 1 X 0 X+1 1 0 X X+1 X+1 0 1 1 0 0 1 1 1 X X+1 1 X 1 0 0 1 1 X 0 X X X X+1 0 1 1 1 1 1 0 X+1 1 1 1 0 0 1 1 X X X X 1 X 1 0 0 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 X 0 1 1 X+1 X+1 0 X+1 0 1 0 1 0 1 X+1 0 0 X 1 1 X 1 0 X 1 1 X+1 X X 1 X+1 X 0 0 X+1 X 1 X 1 X+1 1 X 1 1 0 X 1 1 1 1 X X X+1 0 1 X+1 X+1 X X X 0 1 X+1 X+1 X+1 1 0 0 X+1 X+1 1 0 1 0 1 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 X 0 0 X 0 X X X 0 X X X 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 X X X 0 X X 0 X 0 0 0 X X X X X 0 X 0 0 0 X 0 X 0 X 0 X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X 0 0 X X X X 0 X 0 0 0 X 0 X 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 0 X X X X X 0 0 X 0 0 0 X 0 0 X X 0 X 0 X 0 0 X 0 X 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X 0 X 0 0 0 X 0 0 0 X X X X 0 X X 0 X X 0 0 X X X X 0 0 X 0 X X X X 0 X 0 X X 0 0 X X X X X X 0 0 0 X X X X X X X X 0 0 X X 0 0 X X 0 0 0 0 0 0 0 X 0 X 0 0 X 0 X X X X 0 0 X 0 0 X X X 0 X 0 0 0 0 X X X 0 X X 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 X X 0 X 0 X X X X X X 0 X X 0 X X 0 X 0 X 0 0 0 0 0 0 0 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 X 0 0 0 X X 0 0 0 X X X X X X X X X X X X X X X X X X 0 X 0 0 X X 0 X X X X 0 0 X 0 0 X 0 X 0 X 0 0 X X 0 X X X X X 0 X X 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+41x^80+66x^81+98x^82+124x^83+128x^84+134x^85+134x^86+130x^87+113x^88+108x^89+117x^90+92x^91+92x^92+100x^93+70x^94+92x^95+63x^96+64x^97+44x^98+42x^99+42x^100+28x^101+33x^102+24x^103+19x^104+10x^105+12x^106+6x^107+10x^108+2x^109+2x^110+2x^111+3x^112+1x^118+1x^122 The gray image is a linear code over GF(2) with n=180, k=11 and d=80. This code was found by Heurico 1.16 in 1.03 seconds.