The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  X  0  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  X  0  X  X  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  X  X  0  0  0  0  0  0  X  X
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  0  0  0  X  X  0  0  X  0  X  0  X  0  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  0  X  0  0  X  0  0  X  0  0  X  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  0  0  X  X  X  X  0  0  0  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  X  X  X  X  X  0  0  0  X
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  X  X  0  0  X  0  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  0  0  0  X  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+184x^24+224x^28+1230x^32+224x^36+184x^40+1x^64

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 7.75 seconds.