The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+172x^24+246x^26+571x^28+620x^30+865x^32+664x^34+551x^36+244x^38+128x^40+18x^42+13x^44+2x^48+1x^52

The gray image is a linear code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.16 in 0.893 seconds.