The generator matrix

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

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+22x^26+32x^27+47x^28+48x^29+50x^30+48x^31+36x^32+48x^33+35x^34+48x^35+35x^36+32x^37+15x^38+7x^40+3x^42+2x^44+3x^46

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 0.016 seconds.