The generator matrix 1 0 0 0 1 1 1 0 1 1 X 1 0 1 0 1 X 1 1 1 1 1 1 X X X X X 1 0 X 1 1 1 1 X 1 0 1 1 0 0 0 X 1 0 1 1 0 0 1 0 1 X X 1 0 1 1 1 1 1 1 1 X 1 1 0 1 0 0 X X X X X 1 1 0 1 X 1 0 X X 1 1 1 0 1 0 0 0 0 0 0 1 X+1 1 X+1 1 1 1 0 X X+1 X+1 1 X 0 1 1 1 1 1 0 X X 1 X X X X+1 X X+1 1 0 X+1 1 X X 0 0 0 1 X 1 X 1 1 0 1 1 X+1 X 1 0 0 0 X+1 X+1 0 1 X+1 X+1 1 0 0 1 1 1 1 1 1 X+1 1 0 X 0 X 1 X 1 0 1 0 0 0 1 0 0 1 1 1 1 1 X 0 1 0 1 X 1 1 X+1 0 X+1 X+1 X 1 X X X+1 0 0 1 X+1 1 X+1 X X+1 1 0 X X X X 1 1 X X+1 1 1 0 X+1 1 0 1 X+1 X+1 X X+1 1 1 X+1 X+1 X+1 X 1 X+1 0 X X 0 X 1 X X 1 X+1 1 X X+1 0 0 1 X 1 X X X 0 X 0 0 0 0 1 1 1 0 1 X X+1 X+1 0 X 1 1 1 1 X+1 X X 1 X 1 0 1 0 X+1 1 0 0 X+1 0 X+1 0 1 0 0 0 X+1 X+1 X X+1 1 1 0 1 1 X X 0 1 X+1 1 X+1 1 X 1 1 0 0 X 0 X+1 X X+1 X X+1 0 1 X 0 0 1 X+1 X 0 0 1 1 X 1 1 X+1 1 0 1 1 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 X 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 X 0 X X X X X X X X X X X X 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 0 X X X 0 0 X 0 X X 0 0 X X X 0 0 X 0 X X X X 0 0 0 X 0 0 0 X 0 0 X 0 X X X 0 X X X X X 0 X X 0 X X X X 0 X 0 0 0 X X X X 0 X X 0 X X 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 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 0 X 0 X 0 X X 0 X X X 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 0 X X X X X X X X 0 X X 0 X X X 0 X 0 0 0 X 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 0 0 0 X X X X X 0 0 0 X X 0 X X X 0 0 X X 0 0 0 0 0 0 X 0 0 X X X 0 0 X generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+58x^77+136x^78+138x^79+179x^80+228x^81+226x^82+246x^83+198x^84+214x^85+240x^86+184x^87+214x^88+200x^89+222x^90+218x^91+135x^92+178x^93+184x^94+130x^95+104x^96+104x^97+102x^98+74x^99+32x^100+30x^101+32x^102+28x^103+28x^104+12x^105+10x^106+6x^107+3x^108+2x^112 The gray image is a linear code over GF(2) with n=176, k=12 and d=77. This code was found by Heurico 1.16 in 6.22 seconds.