The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  1  X  X  0  0  1  X  1  0  1  0  1  X  X  X  1  1  1  X  0
 0  1  0  1  0  1  1  0  X  1  1  X  0  1  1  0  X X+1  1  1  1 X+1  1  1  1  0  1  0  1  1  1  0
 0  0  1  1  1  0  1  X  1  0 X+1  1  0  0  1  1  1  X  1  1  0  X X+1  X  1  1 X+1  1  X  X  0  1
 0  0  0  X  0  0  0  X  X  X  X  0  0  X  0  0  X  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  X  0  X  X  X  X  0  0  X  0  0  X  0  X  0  X  0  X  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  X  0  X  0  X  X  0  0  X  X  X  X  X  0  X  X
 0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  0  0  0  0  X  X  0  X  X  X  X  0  X  X  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+97x^26+149x^28+194x^30+209x^32+132x^34+120x^36+78x^38+30x^40+11x^42+3x^44

The gray image is a linear code over GF(2) with n=64, k=10 and d=26.
This code was found by Heurico 1.16 in 0.0701 seconds.