The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 X 1 1 1 0 X 1 1 0 X 0 0 X X 0 0 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 X 0 1 0 1 0 1 1 1 1 1 1 X 1 X 1 1 X 0 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 X 1 X+1 0 X+1 1 1 X X+1 1 1 1 1 1 1 1 1 0 X+1 1 1 X X+1 0 1 X 1 0 X+1 0 1 X X+1 X 1 0 0 0 X+1 X X+1 0 1 X+1 0 1 1 X X X 0 X X 0 0 X 0 X 0 X 0 0 X 0 0 0 0 0 X X X 0 X 0 0 X X X X 0 0 X X X X 0 0 0 X X 0 X 0 0 X 0 X 0 X X 0 X 0 0 X X X X 0 0 0 0 X 0 X 0 X 0 X X X X 0 X 0 0 0 X 0 0 X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X X X 0 X X X 0 X 0 X 0 X 0 X 0 X X X 0 X X X X 0 X X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 0 0 X 0 0 X X 0 X 0 X X X X 0 0 X X 0 X X 0 X 0 0 0 X X 0 X 0 X X 0 X X X 0 0 0 0 X X 0 X 0 0 X X X 0 0 0 0 0 X X 0 X 0 X 0 X 0 X X X X 0 X 0 0 X 0 0 0 0 0 X 0 X 0 X X X 0 X 0 X X 0 X X X X X 0 0 0 0 X X 0 X X X 0 0 0 X X 0 X 0 0 X 0 0 X 0 X X 0 X 0 X 0 X X X X 0 0 X 0 0 0 0 X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X 0 0 0 X 0 0 X X X X X X 0 0 X X X 0 0 0 X 0 0 X X X 0 X X X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 X 0 X X X X 0 X X X generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+64x^69+60x^70+69x^72+96x^73+16x^74+16x^76+32x^77+38x^78+35x^80+32x^81+32x^85+11x^86+7x^88+2x^94+1x^118 The gray image is a linear code over GF(2) with n=150, k=9 and d=69. This code was found by Heurico 1.16 in 4.55 seconds.