The generator matrix

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

generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+31x^70+42x^71+117x^72+112x^73+166x^74+210x^75+221x^76+224x^77+223x^78+230x^79+191x^80+250x^81+243x^82+252x^83+192x^84+204x^85+174x^86+170x^87+171x^88+160x^89+115x^90+78x^91+81x^92+52x^93+56x^94+38x^95+40x^96+22x^97+10x^98+4x^99+10x^100+3x^102+1x^106+1x^110+1x^114

The gray image is a linear code over GF(2) with n=164, k=12 and d=70.
This code was found by Heurico 1.16 in 3.5 seconds.