The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  0  1  0  1  X  1  1  0  1  1  1  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  0 X+1  1  0 X+1  1  1 X+1  1 X+1  1 X+1  0  1 X+1  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  0  0  X  0  0  X  X  X  0  0  X  X  X  X
 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  X  X
 0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0  0  X  0  0  X  0  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  0  X  0  X  0  X  X  0  0  X  X  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  0  X  X  X  X  0  0  0  X  X  0  0  X  0  X  X  X  X  X
 0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  X  X  X  0  X  0  X  X  X  X  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  X  X  0  0  X  0  0  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  0  X  0  0  X  0  X  0  0  0  0  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+44x^22+114x^24+251x^26+493x^28+729x^30+837x^32+726x^34+498x^36+262x^38+87x^40+31x^42+17x^44+5x^46+1x^56

The gray image is a linear code over GF(2) with n=64, k=12 and d=22.
This code was found by Heurico 1.16 in 0.932 seconds.