The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  X  1  1  1  X  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  X  X  0  0  0  X  0  0  X  X  X  0  X  X  X  0  X  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  0  0  X  X  0  X  0  0  X  X  X  0  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  X  0  0  X  X  0  X  X  X  0  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  X  X  0  0  X  X  X  X  X  0  0  0  0  X  0  0
 0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  X  0  X  0  0
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  X  0  X  0  X  0  X  0  X  X  X  0  0  X  X  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+41x^24+99x^28+64x^30+122x^32+64x^34+75x^36+27x^40+17x^44+1x^48+1x^52

The gray image is a linear code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in 0.031 seconds.