The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  X  1  1  X  1  1  0  1  1  1  X  X
 0  X  0  0  0  0  0  0  0  0  X  X  0  0  X  0  0  X  X  0  X  X  X  X  0  0  X  X  0  0  0  X
 0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  X  0  0  0  X  X  X  X  0  0  X  0  X  0  X  0  0
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  X  0  X  X  X  X  X  X  X  0  X  X
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  0  0  0  X  X  X  0  X  0  X  0  X  X  0  X  0  X  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  0  X  X  0  0  X  0  X  0  X  0  0  X  X  0  0  X  X
 0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  0  X  X  X  X  0  0  X  X  X  0  0  X  X  0  0  0
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  0  0  X  X  0  X  X  0  0  0  0  X  X  X  X  X  0  0

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+53x^26+79x^28+85x^30+116x^32+74x^34+42x^36+26x^38+10x^40+17x^42+7x^44+1x^46+1x^48

The gray image is a linear code over GF(2) with n=64, k=9 and d=26.
This code was found by Heurico 1.16 in 19.6 seconds.