The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+296x^22+1104x^24+2219x^26+3765x^28+5564x^30+6528x^32+5931x^34+4074x^36+2064x^38+830x^40+297x^42+81x^44+12x^46+1x^48+1x^50

The gray image is a linear code over GF(2) with n=64, k=15 and d=22.
This code was found by Heurico 1.16 in 65.7 seconds.