The generator matrix

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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+171x^72+156x^76+106x^80+52x^84+17x^88+4x^96+4x^104+1x^112

The gray image is a linear code over GF(2) with n=154, k=9 and d=72.
This code was found by Heurico 1.16 in 301 seconds.