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

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+174x^72+139x^76+128x^80+47x^84+11x^88+5x^92+2x^96+1x^100+3x^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 3.79 seconds.