The generator matrix

 1  0  0  0  1  1  1  0  1  X  1  0  1  X  1  1  1  X  1  0  1  0  1  1  1  1  X  1  1  1  X  0
 0  1  0  0  0  1  1  1 X+1  X  0  1  X  1  X  X  1  X X+1  1  0  0 X+1  X X+1 X+1  X  1  1 X+1  0  0
 0  0  1  0  1  1  0  1  1  1  X  0 X+1  1 X+1  X X+1  1  0  1  1  0  1  X  0  X  X X+1  1  0  1  X
 0  0  0  1  1  0  1 X+1  1 X+1 X+1 X+1  X  0  0  X  X  1  0 X+1  X  1  1 X+1  1  X  1  1 X+1 X+1  1  1
 0  0  0  0  X  0  0  X  0  0  X  X  X  X  X  0  X  X  X  0  0  0  X  X  X  X  X  X  X  0  0  X
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  X  X  X  X  0  X  X  0  0  X  X  X  X  X
 0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  0  X  0  0  X  X  X  0  0  0  0  X  0  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+46x^25+139x^26+130x^27+91x^28+160x^29+263x^30+184x^31+85x^32+188x^33+224x^34+140x^35+64x^36+112x^37+128x^38+56x^39+10x^40+6x^41+13x^42+2x^43+5x^44+1x^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 0.537 seconds.