The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 0 X 1 1 1 X 1 1 0 0 1 0 1 X 1 0 1 0 0 X 0 1 0 0 0 0 X 1 1 X X 1 1 1 1 0 0 X 1 0 X 1 1 X 1 1 1 X 1 1 1 X 1 X 0 0 X 1 1 1 1 1 1 1 1 1 0 X X 0 1 1 1 1 1 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X X+1 X+1 0 1 0 0 1 1 X+1 1 1 1 X+1 X 0 0 X 1 0 X+1 1 1 X 0 1 0 1 1 X 1 1 1 X X 0 1 X 1 1 1 X+1 1 0 0 X+1 X X+1 X X 1 X 1 1 1 1 1 1 X X 1 X 0 X 1 X X 1 1 X+1 X X X+1 X+1 0 0 1 0 1 1 0 1 0 X+1 X 0 X+1 1 1 X X+1 X X 1 X+1 X X+1 1 0 X+1 1 0 X 1 1 X 1 1 1 X+1 X 1 X 0 X X+1 X 1 X X+1 X+1 1 0 X 0 1 0 1 X 1 X+1 0 0 0 1 X X X+1 X 0 0 X+1 0 X 0 0 0 X+1 1 0 X+1 X+1 1 1 0 1 X+1 X+1 X X+1 X+1 0 0 0 1 1 0 1 1 1 0 X X+1 X X+1 X+1 0 0 X+1 X X+1 X+1 0 X X X+1 X+1 X 1 X+1 0 0 X 1 X+1 0 X 1 X 0 0 1 1 1 X+1 1 0 X X+1 1 1 X+1 1 X+1 1 X+1 X+1 1 X 1 1 X 1 X 0 X X+1 X+1 1 X+1 X 1 1 X X+1 0 1 1 X 0 X+1 1 X+1 X+1 X+1 0 X 0 0 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 0 X X 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0 X 0 0 0 X X 0 0 0 0 X 0 X X X X X X 0 0 X 0 0 X X 0 X 0 X 0 X X X X 0 0 0 0 0 X X 0 X 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X 0 0 0 X X X 0 X X 0 X 0 X X 0 X X 0 X 0 X 0 X X X X X X X X X X X 0 0 0 X 0 0 0 X X 0 X 0 0 0 X 0 0 X 0 0 X X X X X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X 0 X X 0 X X 0 X 0 X X X X 0 X 0 0 0 0 X X X 0 0 X X X X X 0 X X X 0 0 0 0 X 0 X X X X X 0 0 0 0 0 X 0 X 0 0 X 0 0 0 X 0 0 X 0 X X X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 X 0 X X 0 X X 0 X 0 0 0 X X X X 0 X 0 0 0 0 0 X X 0 X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 X 0 X X 0 X X 0 0 X 0 X X X 0 X 0 0 X X 0 X X X X X X generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+72x^76+116x^77+133x^78+166x^79+201x^80+234x^81+258x^82+260x^83+226x^84+198x^85+207x^86+220x^87+201x^88+216x^89+177x^90+178x^91+152x^92+122x^93+150x^94+136x^95+108x^96+100x^97+74x^98+50x^99+48x^100+36x^101+18x^102+14x^103+9x^104+2x^105+3x^106+6x^108+3x^110+1x^118 The gray image is a linear code over GF(2) with n=174, k=12 and d=76. This code was found by Heurico 1.16 in 3.54 seconds.