The generator matrix

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

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+52x^25+123x^26+118x^27+156x^28+168x^29+157x^30+192x^31+169x^32+180x^33+159x^34+144x^35+128x^36+96x^37+97x^38+56x^39+26x^40+16x^41+6x^42+2x^43+2x^46

The gray image is a linear code over GF(2) with n=64, k=11 and d=25.
This code was found by Heurico 1.16 in 0.235 seconds.