The generator matrix 1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 0 X 1 1 X 0 1 1 X 0 1 1 1 0 1 0 1 X 0 X 1 1 1 X 1 0 1 X 0 1 X 0 1 0 0 1 1 X 1 1 1 1 X X 1 1 1 X 0 X 0 1 1 X 1 1 1 X X 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 1 1 X 1 1 X X 0 1 X X X+1 X+1 0 0 1 X X 0 X 1 X X 1 X+1 1 0 1 1 0 0 1 X+1 1 X X+1 1 X X X+1 X+1 1 X 1 X X 1 1 1 1 X X+1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 X 1 X+1 1 1 0 X X 1 1 0 0 X 0 1 1 1 X 1 1 1 0 X 0 0 X 1 0 X+1 X X 1 X 1 X X+1 X+1 1 X+1 X 1 1 0 X+1 1 0 1 1 X+1 1 1 1 X+1 1 X X+1 X 1 0 0 0 0 0 1 0 X 1 X 0 0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X X+1 X+1 X+1 1 1 0 X 0 1 X+1 0 X+1 X 0 1 0 1 1 0 X 0 1 X+1 X 0 X+1 1 1 X+1 X X+1 0 X 1 X+1 X+1 1 X+1 0 X+1 X+1 X+1 X X 0 1 0 X X+1 X+1 X+1 0 X 1 0 0 0 1 1 X+1 1 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 X X X X X X X X 0 0 X X 0 0 0 X X 0 X 0 0 0 0 X X 0 X X X 0 0 0 0 X 0 0 X X 0 0 X 0 0 0 0 X X X X 0 X 0 0 X X X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 0 X X X X X X X X 0 X X 0 0 X 0 0 0 X X X X 0 X 0 X 0 X 0 X X X 0 X 0 0 X 0 X X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X X 0 X 0 0 0 0 0 0 X 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 0 X 0 X X X 0 X 0 0 X X 0 X X X 0 0 0 X X X X X 0 X 0 X 0 0 0 X 0 X X 0 0 X 0 X 0 X 0 X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+58x^68+84x^69+90x^70+160x^71+166x^72+134x^73+132x^74+138x^75+141x^76+124x^77+84x^78+86x^79+104x^80+88x^81+62x^82+50x^83+62x^84+64x^85+44x^86+56x^87+24x^88+18x^89+30x^90+18x^91+19x^92+6x^94+2x^95+1x^96+2x^99 The gray image is a linear code over GF(2) with n=154, k=11 and d=68. This code was found by Heurico 1.16 in 0.771 seconds.