The generator matrix 1 0 0 0 0 1 1 1 0 1 1 1 1 1 X 1 X X 1 1 0 0 X 0 1 X 1 1 1 0 1 1 1 0 X 1 X 1 X X 0 0 0 1 X 0 1 1 0 0 1 1 0 1 1 X 0 1 1 X X 1 X 0 1 1 X 0 0 0 1 1 1 1 1 X 0 X 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 X+1 X+1 X X 1 1 1 X+1 X 1 0 1 X 1 1 X+1 0 X 1 1 0 X 1 X+1 1 X X X 0 1 X 1 1 X 0 1 X 1 X 0 1 1 1 0 1 1 1 1 X X 0 X X+1 1 1 1 1 1 0 1 0 1 X 1 X 1 X+1 1 X+1 1 X X 1 0 X 0 0 1 0 0 0 1 1 1 X X 1 X+1 0 1 X+1 X+1 0 X X 0 X+1 1 X X+1 1 X X+1 X 0 0 1 1 1 1 1 0 0 X 0 1 1 0 0 X 1 1 0 X X X+1 X 0 1 X+1 1 0 0 X+1 0 X 0 1 1 X X X+1 X+1 X X+1 X+1 X X+1 X+1 X 0 X 1 X 0 0 1 X+1 1 0 0 X 0 0 0 1 0 1 1 0 X+1 X X 0 X+1 X+1 0 1 X X+1 0 X+1 0 X 1 0 X X+1 X X+1 1 1 1 0 X+1 0 1 X X+1 0 0 1 1 X+1 1 1 1 X 1 0 1 X+1 X+1 X 1 X+1 1 X+1 X+1 X 1 1 1 X+1 X+1 X+1 0 0 1 0 0 1 X 1 0 X 1 1 X X 0 0 1 X 0 1 0 X X 0 0 0 0 1 1 0 X+1 X+1 X+1 1 X X+1 1 1 1 0 X+1 0 X 1 X+1 X 1 0 X X 0 0 1 X+1 X+1 X X X+1 X X 0 1 X 0 1 X+1 1 0 X 0 1 1 1 X X+1 X+1 X+1 0 X X 0 X X 1 0 1 1 1 1 1 0 X+1 X+1 0 X X X X+1 X 1 0 0 X+1 X X 0 0 X 1 X+1 0 0 0 0 0 X 0 X X X X 0 X X X X 0 X 0 0 X X 0 X 0 0 0 0 0 X X X 0 0 X 0 X X 0 X X 0 0 0 X X X 0 0 0 X 0 0 0 0 X X X X X X X 0 X 0 0 0 0 0 0 X X 0 X 0 0 0 X X X 0 X X X X X X 0 0 0 0 0 0 X 0 X 0 0 X 0 0 X 0 0 X X X X 0 X 0 0 X 0 0 0 0 X X 0 X X 0 0 0 X X 0 X 0 0 X X X X X 0 0 X X X X 0 X 0 0 0 X X X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 X X X X 0 0 0 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+65x^76+110x^77+140x^78+200x^79+205x^80+230x^81+228x^82+214x^83+222x^84+224x^85+244x^86+212x^87+227x^88+226x^89+162x^90+158x^91+154x^92+154x^93+122x^94+106x^95+95x^96+102x^97+85x^98+52x^99+51x^100+40x^101+33x^102+18x^103+4x^104+2x^105+9x^106+1x^110 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 3.31 seconds.