The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  1  0  1  1  0  1  1  0  1  0  1  1  1  0  X  1
 0  1  1  0  1  1  0  1  1  X X+1  1  0 X+1  1  0 X+1  1  0  X  1 X+1 X+1  1  0  1  0 X+1 X+1  1  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  X  X  X  X  X  0  0  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  X  0  0  X  X  0  0  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  0  0  X  X  X  0  0  X  0  X  X  X  0  0  X  X  X  0  X
 0  0  0  0  0  X  0  0  0  0  0  X  X  0  0  X  0  0  X  X  X  0  0  0  X  X  0  X  X  X  0  0
 0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  X  0  X  X  0  0  X  X  X  0  X  0  X
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  0  0  X  X  0  X  0  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  X  0  0  X  X  0  X  X  X  X  X  0  0  X  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+59x^24+42x^25+87x^26+76x^27+129x^28+156x^29+175x^30+252x^31+169x^32+208x^33+134x^34+164x^35+122x^36+100x^37+78x^38+20x^39+27x^40+6x^41+35x^42+5x^44+3x^46

The gray image is a linear code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.244 seconds.