The generator matrix

1 0 0 0 0 1 1 1 1 0 X 1 0 1 1 0 1 X X 1 0 0 X 1 1 0 1 X 1 1 1 1 1 1 X 1 0 1 X 1 X 1 1 0 X 1 X 0 0 0 X 1 0 0 0 1 1 X 1 1 1 X 1 0 1 1 1 1 1 1 1 1
0 1 0 0 0 0 0 0 X 0 0 X X 0 X 0 1 1 1 X+1 1 1 1 X+1 X+1 1 1 1 X 1 1 X 0 1 1 X+1 1 1 1 X X 0 1 0 1 X+1 X 1 1 X X X+1 X 1 0 X X+1 0 0 1 0 X 0 1 1 X+1 0 0 1 0 0 X
0 0 1 0 0 0 0 1 1 1 X X+1 1 0 1 1 1 1 X+1 X X X+1 0 X 0 1 X 0 X 1 X+1 0 1 1 1 1 X X+1 1 1 0 1 0 X X+1 0 1 X 0 1 X X X 0 0 0 1 X X+1 0 X+1 1 X 0 X 0 X+1 0 X X X+1 0
0 0 0 1 0 1 0 X 1 1 1 0 X+1 X+1 X+1 X 0 1 X+1 1 1 X 0 X X 0 1 X+1 X 1 0 1 0 X X+1 X+1 1 1 X 1 1 X 1 1 X+1 X 1 X+1 X 1 0 0 0 X 1 X X 1 0 X X+1 1 0 0 1 X+1 X+1 X 1 0 1 1
0 0 0 0 1 1 X+1 X+1 1 X 1 0 1 X 0 1 X X 1 0 1 X 1 X+1 0 X+1 1 X 0 0 1 1 X 1 1 0 X 1 X+1 X+1 1 X+1 X+1 0 0 1 X+1 1 X+1 X 1 1 1 0 X 1 0 1 0 X 0 X 1 X+1 X 0 1 0 X+1 X 0 1
0 0 0 0 0 X X X X 0 0 X 0 X X 0 X 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 0 X 0 X 0 X 0 X 0 0 X X 0 X X X X X 0 0 0 X X 0 X X 0 0 0 X X 0 X 0 0 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+177x^64+254x^66+333x^68+262x^70+258x^72+186x^74+138x^76+128x^78+118x^80+102x^82+49x^84+26x^86+14x^88+2x^90

The gray image is a linear code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.10 in 0.406 seconds.