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 1 1 1 1 1 1 X X X X X X X X 1 X X X X 1 X 1 0 X 1 1 1 X 1 1 1 X 0 0 X 0 0 1 0 1 1 X 1
0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X X 0 X 0 0 0 X X X 0 X X X 0 0 X 0 X X 0 0 X 0 0 X X X X X X 0 0 0 X 0 X 0 X 0 0 0 0 X X 0 X 0 0 X 0
0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 0 0 X X X 0 0 0 X X X 0 X X 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X X 0 X X X 0 0 X X 0 X X X 0 0 X X 0
0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 X X X 0 X 0 0 X X 0 0 0 X X X 0 X 0 X X 0 X X X 0 X X 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X X 0 0 0 X 0 0 X X 0
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X X X X X 0 X X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 X X X 0 X X X 0 X 0 X X 0 X 0 X X X
0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 0 X X 0 0 0 X 0 X 0 0 0 0 X X 0 X X X X X 0 0 0 0 X X 0 X 0 X X 0 X 0 X X 0 0 0 X X X X 0 0 X X 0 0 0 0 X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 X 0 0 X X X 0 0 0 0 X 0 0 0 X X X X 0 X 0 0 0 X 0 X X 0 X 0 X 0 X 0 0 X X X 0 0 X X 0 0 X 0 0 X 0 0 X X 0 X 0 0
0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X X X X 0 0 0 X X X X X 0 0 0 0 X X X X X 0 X X 0 X 0 X 0 X X X 0 0 0 X X 0 X X 0 X 0 X X 0 X 0 X 0 X 0 0 0 0
0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X 0 X X X X 0 0 0 X X X X 0 X 0 X X X X X X X 0 X X 0 X X 0 0 0 X 0 0 0 X 0 0 X 0 X 0 X X 0 0 X 0 X 0
0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 X X 0 0 0 0 X 0 0 0 X 0 X 0 X X X 0 0 X 0 0 X 0 X 0 X X X X X X 0 X 0 X 0 0 0 X X 0 0 0 0 0 0 0 X X
0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 0 X X X 0 0 X X X X X 0 X 0 X X X 0 X 0 X 0 0 X X X 0 X X
generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.
Homogenous weight enumerator: w(x)=1x^0+49x^70+4x^71+113x^72+8x^73+148x^74+56x^75+166x^76+84x^77+167x^78+158x^79+128x^80+274x^81+140x^82+302x^83+159x^84+306x^85+145x^86+272x^87+146x^88+252x^89+133x^90+180x^91+123x^92+88x^93+97x^94+46x^95+101x^96+10x^97+76x^98+6x^99+61x^100+2x^101+50x^102+21x^104+14x^106+3x^108+4x^110+2x^112+1x^122
The gray image is a linear code over GF(2) with n=170, k=12 and d=70.
This code was found by Heurico 1.16 in 6.33 seconds.