The generator matrix

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

generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+106x^69+146x^70+192x^71+216x^72+222x^73+270x^74+228x^75+247x^76+236x^77+221x^78+212x^79+224x^80+196x^81+177x^82+190x^83+174x^84+142x^85+149x^86+130x^87+82x^88+86x^89+67x^90+62x^91+39x^92+36x^93+20x^94+10x^95+9x^96+6x^98

The gray image is a linear code over GF(2) with n=158, k=12 and d=69.
This code was found by Heurico 1.16 in 51.8 seconds.