The generator matrix

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

generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+87x^72+70x^74+93x^76+62x^78+84x^80+38x^82+34x^84+18x^86+10x^88+4x^90+3x^92+4x^100+1x^104+2x^108+1x^112

The gray image is a linear code over GF(2) with n=156, k=9 and d=72.
This code was found by Heurico 1.16 in 0.109 seconds.