The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  X  X  0  X  0  X  0  0
 0  1  1  0  1  1  0 X+1  1  0 X+1  1  0 X+1  1  0 X+1  1  X X+1  1  X  1  1  X  X  1  1  X  0  1  1
 0  0  X  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  X  X  0  X  0  0  X  X  0  0  0  0
 0  0  0  X  0  0  X  X  0  X  0  X  0  X  X  X  0  0  X  0  0  X  X  X  X  0  X  0  X  0  0  X
 0  0  0  0  X  0  X  0  X  X  X  X  0  X  0  0  X  0  X  X  0  0  X  X  0  X  0  X  X  0  X  0
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  0  X  0  X  0  0  0  0  X  X  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+57x^28+52x^30+70x^32+32x^34+11x^36+12x^38+19x^40+2x^48

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 0.016 seconds.