The generator matrix 1 0 0 0 0 0 1 1 1 1 0 0 X 1 1 1 1 1 1 1 1 X 1 1 1 0 X 0 X X 0 0 1 X X 0 X X 1 1 1 X 1 1 1 0 1 X 1 0 X 1 0 X X 1 0 X 1 0 1 1 1 X 1 1 X 1 X 1 1 X X 1 0 1 1 1 1 0 1 1 0 1 0 X 1 0 1 0 0 0 0 X X 1 1 1 1 X X+1 X+1 1 X+1 X X+1 0 X 1 0 0 X+1 X 1 1 X 1 X 1 0 0 X 0 1 0 X X 1 1 X 1 X 0 1 1 X+1 X X X+1 1 1 1 X+1 1 1 1 0 X 0 X+1 1 X 1 X X X X 1 X 1 X X 1 1 0 1 1 X+1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 X X X X X 0 X 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X+1 1 1 X+1 1 X+1 X+1 1 X+1 X+1 1 1 X 1 X+1 X+1 1 X+1 X+1 X+1 1 1 X 1 1 1 X+1 0 X 1 0 X X 1 0 1 0 1 X X+1 X X+1 1 X+1 0 X 1 X 0 0 0 0 1 0 0 0 0 0 X X X X 0 0 X+1 X+1 X+1 1 X+1 X+1 1 1 0 X+1 1 X+1 X+1 1 1 1 X X X+1 1 X 1 1 X 0 0 X 0 0 X+1 X+1 1 0 1 X 1 X 0 X 0 X+1 X+1 X+1 0 X+1 0 1 X+1 X X 1 0 X 1 X 0 X X X+1 1 1 0 0 X+1 X+1 X+1 0 X 1 X+1 0 0 0 0 0 0 1 0 0 X+1 X X+1 X 1 1 X+1 X X 0 X+1 1 0 1 0 0 1 1 1 X+1 1 X X 1 X+1 X X X 1 1 X+1 1 0 X X X+1 0 0 1 X X+1 X+1 X 1 1 1 0 0 1 X+1 X 1 X 1 0 X+1 0 1 X+1 X X X+1 0 1 X 1 0 0 0 X+1 X+1 1 X X+1 0 0 X X 1 0 0 0 0 0 0 1 1 X+1 1 0 1 1 X+1 1 X X+1 X 0 0 1 X+1 1 0 X X+1 1 X 1 1 X 0 X X+1 X X+1 X+1 1 1 1 X 0 0 0 X+1 0 X 1 1 X+1 X+1 X 0 X 1 X X X+1 X 1 0 1 X+1 1 X+1 X 0 1 X+1 1 X X+1 X X+1 1 1 1 0 1 0 X X 0 X+1 X+1 1 1 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+32x^76+118x^77+177x^78+190x^79+203x^80+244x^81+236x^82+226x^83+233x^84+190x^85+200x^86+250x^87+207x^88+208x^89+204x^90+144x^91+166x^92+124x^93+119x^94+130x^95+114x^96+98x^97+62x^98+70x^99+55x^100+32x^101+24x^102+14x^103+11x^104+10x^105+2x^106+2x^108 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 3.22 seconds.