The generator matrix

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

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+150x^56+262x^58+305x^60+252x^62+305x^64+200x^66+174x^68+138x^70+102x^72+88x^74+41x^76+18x^78+10x^80+2x^82

The gray image is a linear code over GF(2) with n=128, k=11 and d=56.
This code was found by Heurico 1.16 in 0.554 seconds.