The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  1  1  1  1  X  0  1  1  X  X  0  0  X  0  0  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  X X+1  1 X+1  X  X  1  1  X  1  1  0  X  0  X  0  X  0  0
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1  0  0 X+1 X+1  1  1  X  1 X+1  1  0  X  1  X  1  X  X  0  1
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1  0 X+1  1  X X+1  X  0  0  0  0  X  1  0  1  X  1  0  1  1
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  1 X+1  X  1 X+1  1 X+1  X  1  X  0 X+1 X+1  0 X+1 X+1  X  X  0
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  X  0  0  0  0  0  X  X  0  0  X  X  0  0  X  0  X
 0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  0  X  0  X  X  0  X  0  X  X  0  0  0  0  0  0  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+63x^24+126x^25+170x^26+244x^27+286x^28+294x^29+337x^30+346x^31+363x^32+370x^33+308x^34+338x^35+303x^36+210x^37+126x^38+94x^39+69x^40+24x^41+18x^42+2x^43+2x^44+1x^46+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 0.812 seconds.