The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  X  1  1  0  1  0  1  1  X  0  X  1  0  1  1  1  0  X  1  X  1
 0  1  0  0  0  0  0  0  0  0  0  0  X  1  1 X+1  1  1 X+1  X  1  X X+1  1  1 X+1  0  X  1 X+1  1  X
 0  0  1  0  0  0  0  0  X  X  1  1 X+1 X+1  1  1  0  X  0  1  1  X  X  0  X  1  1  X  0 X+1  X  0
 0  0  0  1  0  0  X  1 X+1  1  0  1  1  X X+1 X+1  X  1  1 X+1  0  0  1 X+1  X  1 X+1  1 X+1  X X+1  0
 0  0  0  0  1  0 X+1  1  0  1  X X+1 X+1  1  X  1 X+1  X X+1  0  0  1  X  1  0  0 X+1  X  X X+1  X  0
 0  0  0  0  0  1  1  X  1  1 X+1  X  1  1  0  0 X+1  0 X+1 X+1  1  1 X+1 X+1 X+1  1  X X+1  0  0 X+1  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+58x^24+118x^25+193x^26+248x^27+255x^28+342x^29+321x^30+292x^31+376x^32+394x^33+348x^34+324x^35+275x^36+194x^37+147x^38+92x^39+57x^40+40x^41+14x^42+4x^43+2x^44+1x^50

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 0.816 seconds.