The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+42x^26+68x^27+102x^28+122x^29+91x^30+88x^31+78x^32+88x^33+72x^34+60x^35+52x^36+50x^37+43x^38+24x^39+23x^40+12x^41+8x^42

The gray image is a linear code over GF(2) with n=64, k=10 and d=26.
This code was found by Heurico 1.16 in 0.056 seconds.