The generator matrix 1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 X 0 1 X 1 0 1 1 1 1 0 1 X 0 X X 0 0 X 1 1 1 1 X 1 0 X X 1 1 0 X X 0 1 1 1 1 X 1 1 X 0 0 1 X 0 X X 1 0 1 1 1 1 X 1 1 0 1 1 0 1 1 1 0 X 0 1 1 X 0 0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 1 X X+1 1 1 0 0 X X X+1 1 1 1 1 1 X X 1 X X 0 X X 1 0 X 1 1 X+1 X+1 1 1 1 0 X X+1 0 X+1 X 0 X+1 X 1 0 0 1 0 1 1 X+1 X X 1 X X+1 0 1 1 X 1 X+1 1 X+1 X 1 1 0 0 1 1 0 X 0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 X 0 X+1 1 0 1 1 0 X X 1 X+1 0 0 1 0 1 X+1 1 1 X+1 X+1 0 0 X 1 0 X+1 0 1 1 X X 0 1 1 X X+1 1 1 X+1 1 1 1 0 X 0 X+1 X X+1 1 X+1 X 0 0 1 0 1 0 X X 0 X+1 X 1 X 1 1 0 X+1 1 1 0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X 1 1 X X 1 0 X+1 X+1 0 0 1 X+1 0 X+1 X 1 X+1 1 0 1 1 1 X+1 X X+1 X+1 0 X X+1 0 1 X+1 X 1 0 1 X+1 0 0 X X 1 1 X 0 1 1 0 1 X+1 X X X+1 X X+1 X 0 0 1 X X+1 X X+1 1 0 1 X+1 X+1 X+1 X+1 0 X+1 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 X X 0 X 0 X X 0 X 0 X X X X 0 X 0 0 X 0 X 0 X X 0 X X 0 0 0 0 X X X 0 X 0 0 0 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 X X X X X X X X X X X X X X X X X X X 0 X 0 X X X 0 X 0 X X 0 0 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 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 X X 0 0 0 0 0 X X X X 0 X 0 X X X X X X 0 0 0 X 0 X X 0 0 0 X 0 X X 0 0 0 0 X X 0 X X 0 X 0 X X 0 X 0 X X generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+72x^79+105x^80+114x^81+155x^82+136x^83+150x^84+138x^85+126x^86+122x^87+91x^88+96x^89+85x^90+84x^91+82x^92+84x^93+62x^94+56x^95+46x^96+38x^97+60x^98+20x^99+22x^100+30x^101+20x^102+22x^103+13x^104+8x^105+3x^106+2x^108+4x^109+1x^114 The gray image is a linear code over GF(2) with n=176, k=11 and d=79. This code was found by Heurico 1.16 in 1.24 seconds.