The generator matrix

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

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+24x^60+64x^61+23x^62+31x^64+32x^65+32x^66+8x^68+32x^69+8x^70+1x^126

The gray image is a linear code over GF(2) with n=128, k=8 and d=60.
This code was found by Heurico 1.16 in 0.047 seconds.