The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+48x^28+58x^30+73x^32+38x^34+16x^36+6x^38+2x^40+10x^42+4x^44

The gray image is a linear code over GF(2) with n=64, k=8 and d=28.
This code was found by Heurico 1.16 in 0.0077 seconds.