The generator matrix

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

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+48x^61+28x^62+64x^63+63x^64+32x^66+16x^77+4x^78

The gray image is a linear code over GF(2) with n=128, k=8 and d=61.
This code was found by Heurico 1.16 in 54.9 seconds.