The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+62x^25+115x^26+124x^27+153x^28+154x^29+159x^30+190x^31+182x^32+178x^33+153x^34+130x^35+145x^36+102x^37+85x^38+66x^39+29x^40+16x^41+2x^43+2x^44

The gray image is a linear code over GF(2) with n=64, k=11 and d=25.
This code was found by Heurico 1.10 in 0.109 seconds.