The generator matrix

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

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+54x^24+146x^25+186x^26+214x^27+290x^28+334x^29+317x^30+302x^31+345x^32+410x^33+318x^34+258x^35+294x^36+250x^37+202x^38+122x^39+40x^40+12x^41+1x^62

The gray image is a linear code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.10 in 0.313 seconds.