The generator matrix

 1  0  0  0  0  1  1  1  1  0  X  1  X  1  1  X  1  X  0  1  X  0  0  1  1  X  1  X  1  1  1  1  1  1  0  1  0  1  0  1  0  1  1  0  X  1  0  X  X  0  0  1  X  0  0  1  1  0  1  1  1  X  1  X  1  1  X  1  X  0  0  1
 0  1  0  0  0  0  0  0  X  0  0  X  X  0  X  0 X+1  1  1  1  1  1  1 X+1  1  1  1  1  X X+1  1  X  0  1  1  1  1  1  1  X  X  0  1  0  1 X+1  X  1  1  X  X X+1  X  1  0  X  1  0  0 X+1  0  X  0  1 X+1  0  1  1  1  1  0  X
 0  0  1  0  0  0  0  1  1  1  X X+1  1  X  1  1  1  1  1  0  0 X+1  X  X  X X+1  X  0  0  1 X+1  X X+1 X+1  1 X+1  0  1  1 X+1  0 X+1  X  0  1  X  1  X  0  1  X  0  0  0  X  0 X+1  X X+1  0  1  1  X  0  X  0  1  X  1  X  X  0
 0  0  0  1  0  1  X  X  0  X  1 X+1  1 X+1 X+1  1  1  X  1  1  1  0 X+1  0  1  1  X  0  1 X+1  0  X  1  0  1 X+1  X  0 X+1  X  1  X  0  0  0  X X+1  1 X+1  0  1  X  1  0  X  X X+1  1 X+1 X+1 X+1  X  X X+1 X+1  X X+1  0  1  1  1  X
 0  0  0  0  1  1  1 X+1  0  1 X+1  X  1  X X+1  0  X  X X+1  0  X X+1  1  0  1  0 X+1  1 X+1  1  1 X+1  0 X+1 X+1  1  1  0  X  0  0  1  1  1  X  X X+1  X  1  X X+1  X  1  X  1  0  0  X  X  1 X+1  X  0 X+1  0 X+1  1 X+1 X+1  0  0 X+1
 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  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  0  X  0  X  X  0  X  X  0  0  X  X  0  0  0  X  0  X  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+181x^64+234x^66+337x^68+272x^70+272x^72+172x^74+156x^76+128x^78+132x^80+46x^82+59x^84+40x^86+14x^88+4x^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 1.16 in 0.821 seconds.