The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X 0 X 1 1 1 X 1 1 X 1 0 0 1 0 X 1 0 1 0 X 1 1 0 1 1 0 0 1 0 X X 0 X 1 1 1 1 0 1 0 1 1 1 X 1 1 0 1 X 0 1 1 1 X X 1 1 1 1 1 1 1 1 X 0 0 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X 1 X X+1 X X 1 X+1 1 0 0 1 X 0 1 0 1 1 0 X 1 0 1 X X+1 X X 0 1 1 1 1 X X+1 X+1 X 1 X 1 1 0 0 X+1 X X+1 X+1 0 0 0 0 X X 0 X X 1 0 X 1 X+1 X+1 0 0 X 1 0 0 0 1 0 1 1 0 1 0 X+1 0 X+1 X 1 1 X+1 X 0 1 1 X X+1 1 1 X+1 X X X 0 X 1 X 0 X 0 1 X+1 0 0 1 1 0 X+1 1 X 1 X+1 X+1 X X+1 1 X+1 X 0 1 0 1 0 X 1 X 1 1 1 X X+1 1 1 X+1 0 1 1 X+1 X+1 X X 1 1 1 0 0 0 1 1 0 1 1 1 0 X X+1 1 1 0 0 0 X 1 X 1 X+1 X+1 0 X+1 X 1 0 1 X+1 1 1 1 X 1 X 1 X+1 1 0 0 X+1 X 0 X+1 0 1 X+1 0 X 1 1 X X+1 X+1 0 X+1 X+1 0 0 X+1 X+1 X 0 X 1 X X X 0 X 0 0 X 0 0 1 1 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X 0 X X X 0 X X X 0 X 0 X X 0 0 X 0 0 X 0 X 0 X X 0 0 X X X X 0 0 X X 0 X 0 X X 0 0 0 X 0 X X X X 0 0 X 0 X 0 0 0 X X X 0 X 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 0 X X X 0 X X X 0 X 0 X X X 0 0 X X X X X 0 0 0 0 0 0 X X X X X X 0 0 X X X X 0 0 0 X X 0 X 0 0 X X X 0 0 0 X X 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X X X X 0 0 X 0 0 X 0 X X X X 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 X X X 0 0 X X 0 X X 0 X 0 0 0 0 X X X 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 X 0 X 0 X 0 X 0 X 0 X X 0 X X X X 0 0 X X X 0 X X X X 0 X 0 0 X 0 X X X 0 0 0 X X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+63x^68+88x^69+152x^70+170x^71+210x^72+230x^73+222x^74+240x^75+242x^76+222x^77+205x^78+240x^79+196x^80+206x^81+177x^82+194x^83+146x^84+174x^85+168x^86+132x^87+104x^88+84x^89+75x^90+38x^91+52x^92+20x^93+19x^94+10x^95+9x^96+5x^98+1x^100+1x^106 The gray image is a linear code over GF(2) with n=158, k=12 and d=68. This code was found by Heurico 1.16 in 3.03 seconds.