The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 1 X 1 1 0 1 0 1 1 1 1 0 1 X 1 1 X 1 1 X 1 1 X 1 1 1 1 0 1 1 1 0 1 0 1 1 X 0 X 1 1 1 1 1 1 1 1 1 1 0 1 X 1 X X 1 1 1 X X 1 1 0 1 X 1 1 0 X 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X X+1 1 X+1 0 1 X 1 X+1 0 X+1 1 1 0 1 X+1 X 1 0 1 1 X+1 1 1 0 0 X+1 X+1 1 0 X 0 1 X+1 1 1 X 1 1 1 X 0 1 X+1 X 1 X 1 0 0 1 1 1 X+1 1 1 X+1 0 0 1 X 0 0 1 1 1 1 0 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X X X X 0 X 0 0 0 X X 0 0 X X 0 0 X X X 0 0 0 0 X X X X X 0 X X X X 0 0 X 0 0 0 0 0 X X X X 0 0 0 X 0 X 0 0 X 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X 0 0 0 0 X X 0 0 X X X X X X X X X 0 0 X X 0 X X X X X 0 X 0 0 X 0 X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 X 0 0 0 X X X X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X 0 X 0 X X 0 X X 0 X 0 X X X 0 X 0 X 0 X X X X 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X 0 0 0 0 X 0 X X 0 X X X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X 0 X 0 X 0 0 0 X X 0 0 X X 0 X 0 X 0 X X X X X X 0 X X X X X X 0 0 0 0 0 X X X 0 0 0 X 0 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X X X 0 X 0 X X 0 0 0 X X 0 X 0 0 0 X X 0 0 0 X X 0 X X X 0 X X X X X X 0 X X 0 0 X X 0 0 X X X X X X X X 0 X 0 X X X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X X 0 0 X 0 0 0 X X X X X 0 X 0 X X 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 0 0 X X 0 X X X X X 0 X 0 0 X X X 0 X X X 0 X X X 0 X 0 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 0 X 0 0 0 X X X X X X 0 0 0 X 0 X X 0 X 0 X 0 X 0 X 0 0 X 0 0 X 0 X X X 0 X 0 X X 0 0 X X 0 0 X X X 0 0 0 0 0 X X 0 0 X 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X X X X 0 X 0 0 0 0 X 0 0 0 X 0 X 0 0 X X X X 0 0 X X X X X 0 0 0 0 0 X X 0 0 0 X 0 X X 0 0 0 0 X X X 0 0 X X 0 0 X 0 0 X 0 X X X 0 0 0 0 X generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+52x^76+22x^77+116x^78+92x^79+147x^80+108x^81+171x^82+190x^83+197x^84+220x^85+227x^86+260x^87+202x^88+256x^89+180x^90+260x^91+150x^92+246x^93+150x^94+172x^95+143x^96+132x^97+95x^98+46x^99+80x^100+40x^101+41x^102+4x^103+26x^104+30x^106+14x^108+8x^110+9x^112+4x^114+3x^116+2x^118 The gray image is a linear code over GF(2) with n=178, k=12 and d=76. This code was found by Heurico 1.16 in 4.83 seconds.