The generator matrix

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

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+152x^62+57x^64+32x^70+4x^72+8x^78+2x^80

The gray image is a linear code over GF(2) with n=128, k=8 and d=62.
This code was found by Heurico 1.16 in 1.13 seconds.