The generator matrix

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

generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+25x^70+108x^71+105x^72+140x^73+171x^74+148x^75+171x^76+136x^77+122x^78+92x^79+97x^80+98x^81+78x^82+74x^83+79x^84+78x^85+55x^86+58x^87+54x^88+38x^89+19x^90+22x^91+22x^92+18x^93+10x^94+6x^95+7x^96+4x^97+4x^99+8x^100

The gray image is a linear code over GF(2) with n=158, k=11 and d=70.
This code was found by Heurico 1.16 in 0.742 seconds.