The generator matrix

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

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+148x^64+292x^66+344x^68+232x^70+283x^72+160x^74+161x^76+110x^78+138x^80+82x^82+60x^84+18x^86+13x^88+2x^90+3x^92+1x^96

The gray image is a linear code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.16 in 0.724 seconds.