The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+123x^64+4x^80

The gray image is a linear code over GF(2) with n=128, k=7 and d=64.
As d=64 is an upper bound for linear (128,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.0586 seconds.