The generator matrix

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

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+39x^26+102x^27+99x^28+56x^29+106x^30+132x^31+66x^32+48x^33+63x^34+104x^35+73x^36+24x^37+41x^38+44x^39+17x^40+6x^42+2x^43+1x^46

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 0.0574 seconds.