The generator matrix 1 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 X 1 0 1 X 1 1 1 0 1 1 X X 1 X 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 X 1 1 X 1 0 0 0 1 1 X 1 1 1 0 X 0 0 X 1 X X 0 1 1 1 0 0 0 X 1 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 X+1 X+1 1 X 1 X X X+1 0 1 X X 1 1 1 1 X 0 1 1 1 X X X+1 1 X X X X X 0 0 1 1 0 X+1 1 X+1 0 1 1 X 0 1 X+1 X+1 0 0 1 0 0 0 X 0 1 0 X+1 1 X+1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 X+1 X X 1 1 1 X X+1 X X 1 1 X 1 X+1 1 X X 1 X+1 X+1 1 X X 0 X+1 X+1 1 0 X 1 1 0 1 X+1 1 1 0 X 0 1 1 X 1 0 1 1 1 1 X X+1 0 1 0 1 1 1 X+1 1 X+1 1 X+1 X 0 X+1 1 X+1 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X X X X X X X X X X X X X 0 X X 0 X 0 X 0 0 0 0 0 X X 0 0 X X 0 X X 0 0 0 X X 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X 0 0 X X X X X X 0 0 X 0 X 0 X 0 0 X 0 X 0 0 0 X 0 X X 0 X 0 0 X X X 0 X X 0 X X X 0 X X X 0 X 0 X X X 0 0 0 0 X 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 X X 0 0 0 0 X X X X X X 0 X X 0 X X X 0 0 X 0 X X 0 X 0 X X 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X X X X X 0 X 0 X 0 0 0 X 0 X X 0 X 0 0 X 0 X X X X 0 0 X X X X 0 0 0 0 0 0 X 0 X X 0 0 0 X X 0 X 0 0 X X X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 X X X X 0 X X X X X X 0 X 0 0 0 X X X 0 0 0 X 0 X X 0 0 0 0 0 0 X 0 X X 0 0 0 X X 0 0 0 0 X 0 0 0 X X X X 0 X 0 X X 0 0 0 X 0 0 X X 0 X 0 0 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+29x^68+54x^69+89x^70+128x^71+130x^72+116x^73+140x^74+142x^75+123x^76+126x^77+107x^78+92x^79+89x^80+104x^81+83x^82+92x^83+84x^84+70x^85+58x^86+32x^87+30x^88+32x^89+24x^90+22x^91+18x^92+6x^93+9x^94+4x^95+6x^96+4x^97+1x^98+1x^100+1x^102+1x^108 The gray image is a linear code over GF(2) with n=156, k=11 and d=68. This code was found by Heurico 1.16 in 0.815 seconds.