The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X 1 1 1 1 1 1 X 1 1 1 X 1 X 1 1 1 1 1 X 1 X 1 0 1 1 1 0 0 1 0 1 X X X 1 X 1 1
0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 X X X X 0 X X 0 X X 0 X 0 0 0 X X 0 0 X X X 0 0 X 0 X X 0 X X X 0 X 0 0 X 0 0 X X 0 0 X X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 X X X 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 0 X 0 X X X 0 0 0 0 X X 0 0 0 0 X 0 X X X X 0 X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X 0 X X 0 0
0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 X X X X X 0 X 0 0 X X X X X X X 0 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X X 0 X X 0
0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X 0 X X X 0 0 X 0 X X X X X X X 0 0 X 0 X X 0 X X 0 0 0 0 0 0 X X X 0 X 0 0 0 X 0 X X X X X X X X X X X X X 0 X 0 X 0 X X 0 X X 0 0 X 0 X
0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 X X 0 X 0 0 X X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 X 0 X 0 X X 0 X X X 0 0 X X 0 0 X 0 0 X 0 X 0 X X X 0 0 0 0 0 X X 0 0 0 X X X
0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 X X X X X 0 0 X 0 X 0 0 0 X X 0 X X X 0 0 X X X X 0 0 0 X 0 X X X 0 0 0 0 0 X 0 X X X X X X X 0 X 0 X X X 0 0 0 X 0 X X 0 X 0 0
0 0 0 0 0 0 0 X 0 X X X 0 X 0 X 0 0 X X X 0 0 X X X X 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 0 X X 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 X 0 X 0 X X X X 0 X X X 0 X X 0 X 0 X 0 0 X
0 0 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X X X X X 0 0 X X X X X 0 X 0 0 X X X 0 X X X 0 X 0 X X 0 0 0 X X 0 0 X X X 0 0 0 X 0 0 X 0 0 X 0 X 0 0 X
generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.
Homogenous weight enumerator: w(x)=1x^0+25x^74+56x^76+16x^77+68x^78+44x^79+54x^80+56x^81+49x^82+88x^83+39x^84+120x^85+30x^86+80x^87+35x^88+40x^89+35x^90+40x^91+32x^92+24x^93+16x^94+4x^95+15x^96+15x^98+15x^100+14x^102+7x^104+3x^106+2x^108+1x^138
The gray image is a linear code over GF(2) with n=170, k=10 and d=74.
This code was found by Heurico 1.16 in 0.46 seconds.