The generator matrix

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

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+278x^72+355x^76+156x^80+112x^84+74x^88+35x^92+11x^96+2x^100

The gray image is a linear code over GF(2) with n=156, k=10 and d=72.
This code was found by Heurico 1.16 in 10.3 seconds.