The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  0  0  X  1  1  0  X  X  1  1  1  X  1  1  0  1  1  1  0  0  1  X  1  1  1  1  1  0  X  0  1  0  0  1  0  0  1  X  1  1  1  1  0  1  1  1  X  0  1  1  1  1  1  X  1  1  0  0  1  X  1  1  1  X  1  1  1  X  1  X  1  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  1 X+1  X  1  1  X  0  1  0  1 X+1  1  X  X  0  1  1 X+1  X X+1  X  0  1 X+1  1  1  1  X  1  1 X+1  1  X  X  1 X+1  X X+1  X  0  1  1  0  0  1  X  X X+1  0 X+1  1 X+1  1  0  1  1  1  0  0  0  0  X X+1  0  0  1  X  1  0  0  0
 0  0  1  0  0  0  1  1  1  1  X  1  0 X+1 X+1  X  1 X+1  1  0  1  0  0 X+1  0  0 X+1  X  X  X  1 X+1  1 X+1  X  1  0 X+1  X  X  X X+1  X  0 X+1 X+1  1  0  0  X X+1  0  X  X  1  X  0  1  0  0 X+1  0  1 X+1  1  1  0  1 X+1  X  1 X+1 X+1  0  1  1 X+1  1  X  0  X  1  X  0  0
 0  0  0  1  0  1  1  0  1  0 X+1 X+1  1  X X+1  0  1 X+1  0  0  0  X  1 X+1  1  1  1  1  1  0 X+1 X+1  0 X+1  X  X  1  X  1 X+1  0  1  1  0  0  0  X  0  1  X  1  0  0  1  X  X  1 X+1 X+1 X+1  X  1 X+1  X  X X+1  1 X+1 X+1  0  0  1  0  0  1  1  0  1  1 X+1  1  0  X  1  0
 0  0  0  0  1  1  0  1  1  X  0  X  1 X+1 X+1  1  X  1  X X+1  0  X  1  X  1  X  1  1  0 X+1  1 X+1  1  X  0  1 X+1  1  0  1  0  X  X X+1  1  1  0 X+1  1  0  1  X  1 X+1  0  0  0 X+1  X  0  X  0  1  X  X  0  X  1  1  X  0  X  0  1 X+1 X+1 X+1  X  1  0  0  0  0  1  0
 0  0  0  0  0  X  0  0  0  X  0  X  X  0  X  0  0  X  X  X  X  X  X  0  0  X  0  0  X  X  0  0  X  0  0  0  0  X  0  0  0  0  0  X  0  X  0  X  X  0  X  0  0  X  0  X  X  X  X  X  0  X  X  X  0  X  X  0  0  X  0  0  0  0  0  0  X  X  0  0  0  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  X  X  X  X  X  0  0  0  X  0  0  0  X  0  0  X  0  X  X  0  X  0  0  0  X  X  X  0  0  0  X  0  X  0  0  X  0  X  0  X  X  0  X  0  0  X  X  X  X  0  0  0  X  0  X  0  0  0  0  X  X  0  0
 0  0  0  0  0  0  0  X  0  0  X  X  X  0  X  X  X  0  0  X  X  0  0  0  0  0  0  X  0  X  X  X  X  X  0  X  X  0  X  0  0  0  0  0  0  0  0  0  X  0  X  0  X  0  X  X  X  X  0  0  0  X  0  X  X  0  X  X  0  0  0  X  X  0  X  0  X  0  0  0  0  0  X  X  0
 0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  X  0  0  0  X  0  X  0  0  0  X  0  X  0  0  X  X  0  0  X  0  0  0  X  X  0  0  X  0  0  X  0  0  0  0  X  X  X  X  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  0  X  X  X  0  0  X  X  X  X  0  0  X  0  0

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+51x^70+46x^71+184x^72+246x^73+349x^74+420x^75+466x^76+572x^77+661x^78+672x^79+695x^80+772x^81+828x^82+880x^83+861x^84+944x^85+894x^86+910x^87+873x^88+862x^89+706x^90+720x^91+635x^92+472x^93+389x^94+336x^95+284x^96+196x^97+180x^98+92x^99+73x^100+28x^101+29x^102+20x^103+19x^104+4x^105+9x^106+4x^108+1x^124

The gray image is a linear code over GF(2) with n=170, k=14 and d=70.
This code was found by Heurico 1.16 in 99.8 seconds.