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 1 1 1 X 1 0 1 0 1 1 1 1 1 0 0 X X 0 1 1 0 1 1 1 X 1 1 X 1 1 1 1 X X 1 1 1 1 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 0 X+1 0 X+1 1 1 1 0 1 0 X X X+1 1 1 1 1 1 1 X X+1 1 X+1 0 X 1 1 1 1 X 0 1 0 1 X 0 X X 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 0 0 X X X X X X 0 0 X 0 X 0 X X X 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 X X 0 0 X 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 X X 0 0 X X X X 0 0 X X 0 X 0 X X 0 0 X 0 X X X X 0 X X 0 X X 0 0 X X 0 X X 0 X 0 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 0 0 0 0 X 0 X X 0 X 0 X 0 X 0 X X X X X X X X X 0 0 0 0 X 0 0 X X X X X X X 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 X X 0 0 X 0 X 0 X X 0 0 0 0 X X 0 0 X 0 X X 0 0 X 0 0 0 X 0 X 0 X X 0 X 0 X X 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 0 0 X X X 0 0 X X X X X 0 X X 0 0 X X X X X X 0 0 X 0 X 0 X X 0 X 0 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 X X 0 X X 0 0 X 0 X 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X X X X 0 0 X 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 0 0 X 0 0 X 0 X 0 0 0 0 X X 0 0 0 0 X X 0 0 X 0 0 X 0 X X X X 0 X X X 0 X 0 X 0 X X 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 X X 0 X X X 0 X 0 0 0 0 0 X X X X 0 X 0 0 0 X 0 X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X 0 generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+50x^72+138x^74+237x^76+352x^78+400x^80+444x^82+498x^84+460x^86+407x^88+377x^90+302x^92+204x^94+102x^96+43x^98+28x^100+20x^102+15x^104+5x^106+5x^108+4x^110+1x^112+1x^114+2x^116 The gray image is a linear code over GF(2) with n=170, k=12 and d=72. This code was found by Heurico 1.16 in 4.53 seconds.