The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 0 0 X 1 1 1 0 X X 1 1 1 1 X X 1 1 0 1 1 1 1 X X 0 1 X 1 1 1 X 1 X 0 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 X 1 1 1 1 0 1 1 0 1 X 0 1 X 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 0 1 1 0 X X+1 1 X 1 X 0 X+1 X 1 0 1 0 1 1 1 0 X 0 1 1 X 1 1 X+1 X 1 X 1 0 1 1 0 0 X+1 0 0 1 X+1 X 0 X+1 0 1 1 0 1 X 0 X X 1 1 X+1 1 X X 1 X 0 1 X+1 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X X+1 1 0 1 X 1 X+1 X+1 1 0 X X+1 0 0 X 1 1 1 1 X 0 0 X+1 1 X X X+1 1 0 1 0 X+1 X+1 0 1 X+1 X+1 1 0 1 0 X+1 X X 0 1 X+1 X 0 0 1 0 1 X+1 X+1 1 X+1 1 X+1 X 1 X X+1 1 0 0 1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X 0 X X 0 X X X 0 0 X X 0 0 0 0 X 0 0 X X X X 0 X 0 X 0 X 0 X 0 X 0 0 0 0 X 0 0 0 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 X 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 0 X 0 X 0 X X 0 X X X 0 0 0 X 0 X 0 0 X X 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 X X 0 X X X 0 X 0 X X X 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 X X 0 0 X 0 X X X X 0 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X X 0 X X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X X 0 X X 0 0 0 X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X X X 0 0 X 0 X X X X 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X 0 X 0 0 X 0 X 0 X X X X 0 0 0 0 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X 0 0 0 X X X 0 0 0 0 X 0 X X X 0 X 0 X 0 X X X 0 0 0 0 0 X 0 X 0 0 X X X 0 X 0 0 0 0 0 X X 0 X X 0 0 0 X 0 X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X X X X X X X X X 0 0 0 X 0 0 X 0 0 0 X 0 X 0 X 0 0 X 0 0 0 0 0 X X X X 0 0 0 X X 0 0 X X X 0 0 X X X 0 X X 0 0 X 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 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 0 X X X X X X X X X X X X X X X 0 X X X X X X X X X X X X 0 0 X 0 X X 0 X 0 X X X 0 0 0 X 0 X 0 0 X generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+57x^74+42x^75+175x^76+138x^77+298x^78+250x^79+415x^80+412x^81+478x^82+568x^83+636x^84+764x^85+780x^86+948x^87+808x^88+964x^89+902x^90+982x^91+889x^92+970x^93+772x^94+754x^95+621x^96+558x^97+490x^98+444x^99+351x^100+232x^101+217x^102+96x^103+145x^104+48x^105+66x^106+12x^107+41x^108+8x^109+28x^110+9x^112+2x^113+6x^114+3x^116+1x^118+1x^120+1x^122+1x^124 The gray image is a linear code over GF(2) with n=180, k=14 and d=74. This code was found by Heurico 1.16 in 59.5 seconds.