The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  1  1  1  0  X  1  1  1  0  1  0  X  0  1  1  1  X  1  X  0  0  1  X  X  1  0  1  1  X  1  1  1  1  X  X  1  1  X  X  1  X  X  X  0  0  1  1  0  X  X  X  1  1  1  1  1  0  1  1  0  1  1
 0  1  0  0  1  1  1  0  X  X  1  1  1 X+1  0  1  1  X  1  1  0  0  0  1  1 X+1  1  X  0 X+1 X+1  X  1  X  1  0  0  0  1  X  X  1  X X+1  1 X+1  0  X X+1  X  0  1  X  X  1  X  1  1  1  X  0  X  1  1  0  1  1  0  X  0  X  0  0  0  0  1  X  0
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  X  0 X+1 X+1  1  X  0  1  0  1 X+1  X  X  1  1  1 X+1  0  X  0 X+1 X+1  1  1 X+1  X  1  0 X+1  0  X  0  1 X+1  0  1  1  1  1  0  X  X  X  0  0  0  1  1  0  1 X+1  1  X  0  X  X  0  X  0  X  X  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  0  0  0  X  X  X  X  0  X  X  X  0  X  X  X  X  0  0  0  X  X  0  0  X  0  0  0  0  X  X  0  X  X  0  X  X  X  X  0  0  X  X  0  X  0  0  0  0
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  0  X  X  0  X  0  X  0  X  X  0  0  0  0  0  X  X  X  0  0  X  X  X  0  0  0  0  0  X  X  X  X  0  0  0  X  X  X  0  0  X  X  0  0  0  X  0  X  0  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  X  X  X  X  X  0  X  0  X  0  X  X  0  0  0  0  X  0  0  X  X  0  0  X  X  0  X  X  X  0  X  X  X  0  X  0  X  0  0  0  0  0  0  0  0  X  X  X  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+53x^72+121x^74+93x^76+61x^78+74x^80+37x^82+19x^84+19x^86+6x^88+10x^90+8x^92+4x^94+1x^96+4x^102+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 0.129 seconds.