The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 0 1 1 X 1 X 0 0 1 0 1 1 1 X X 0 1 1 X 0 0 0 1 1 0 X 1 1 X X X X 1 X 1 X X X 1 X X X 1 X 1 1 1 X 1 1 0 X 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 0 1 1 X 1 X 1 X 1 1 1 1 0 X X+1 X 1 0 1 1 X+1 1 0 0 1 X+1 X X 1 X+1 0 X 1 0 1 X+1 1 1 X 0 1 X 1 X X X+1 1 0 X 0 1 1 0 1 0 1 X+1 0 1 1 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 1 X+1 1 X+1 1 0 X 0 1 X X+1 0 0 X X 1 X 0 1 0 1 X+1 1 1 1 X+1 1 X X 0 X X 1 X+1 1 0 X 1 1 0 X X+1 1 0 1 1 0 X X+1 X+1 0 0 0 1 0 X X X+1 X 1 1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 1 0 1 0 X+1 X+1 1 0 X X 1 X+1 1 X 1 0 X 0 X+1 X+1 X+1 X+1 1 1 1 0 1 1 X 1 1 X 1 0 0 1 X+1 X+1 1 1 0 X+1 X+1 X+1 1 X X+1 X X+1 1 X X X X 1 1 X 1 0 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X X+1 1 1 1 X+1 0 X X X+1 0 X+1 X 1 1 X 0 0 1 1 0 X+1 X+1 1 0 X+1 X+1 1 0 0 0 1 0 X+1 0 X+1 1 X 0 0 X X X X+1 X X 0 X 0 X X+1 1 X+1 X+1 X X X+1 X X+1 X X+1 0 0 0 0 0 0 X 0 X X X 0 X X X X X X X X 0 0 0 X 0 X 0 0 0 X X X 0 0 X 0 0 X X 0 0 X X X X 0 X X 0 X 0 X 0 X 0 X X 0 0 X 0 X 0 0 X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X 0 X X 0 0 X 0 0 X X 0 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 0 X X X X 0 X X 0 0 0 X 0 X 0 X 0 0 X X 0 X 0 X 0 X X 0 0 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+39x^64+92x^65+156x^66+168x^67+181x^68+230x^69+233x^70+228x^71+247x^72+246x^73+243x^74+212x^75+210x^76+260x^77+162x^78+178x^79+182x^80+150x^81+142x^82+114x^83+117x^84+76x^85+77x^86+50x^87+35x^88+32x^89+11x^90+10x^91+12x^92+2x^93 The gray image is a linear code over GF(2) with n=150, k=12 and d=64. This code was found by Heurico 1.16 in 2.72 seconds.