The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 X 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X X 1 1 1 0 1 1 1 1 1 1 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 X+1 0 1 X 1 X+1 X+1 0 1 0 X+1 1 X+1 1 X 0 1 X+1 0 1 1 1 1 X+1 1 0 X 1 X+1 X+1 0 0 1 X+1 1 1 1 1 1 X+1 X 1 X X+1 X X+1 0 1 1 0 X+1 1 X+1 X+1 0 1 0 X X+1 X X+1 X+1 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 0 0 0 X X 0 X X X 0 0 X X X 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X X 0 X 0 X X 0 X X X 0 0 X 0 0 0 X X X 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 0 X 0 X 0 X X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 X 0 X X X X 0 X X X 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X X X 0 X X X X X 0 0 X X X X X 0 X 0 0 0 0 0 X X X 0 X 0 X X X X 0 0 0 X X 0 0 X X X X 0 0 X X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 X X 0 X 0 X X 0 X X 0 0 X 0 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 X 0 0 X 0 X X 0 X 0 X 0 0 X X 0 X X X 0 0 X 0 X 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X 0 X X 0 0 0 X 0 X 0 X X 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 0 X X 0 X X X X 0 0 0 0 0 X X X X 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X 0 X X X 0 X X 0 0 X X X 0 0 X X 0 X 0 0 X 0 X X 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 generates a code of length 78 over Z2[X]/(X^2) who�s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+57x^70+56x^71+101x^72+96x^73+34x^74+60x^75+30x^76+32x^77+84x^78+60x^79+61x^80+96x^81+38x^82+52x^83+26x^84+32x^85+37x^86+28x^87+27x^88+2x^94+8x^96+3x^102+2x^104+1x^118 The gray image is a linear code over GF(2) with n=156, k=10 and d=70. This code was found by Heurico 1.16 in 6.48 seconds.