The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  0  X  1  X  1  1  0  1  1  1  1  X  1  X  1  1  1  1  0  X  1
 0  1  0  0  X  X  X  0 X+1  1  1  1  1  1  1 X+1 X+1  1  0  0  0  1  1  0  X  X  0 X+1  1  X  1  0
 0  0  1  0  0 X+1  1  1  0  X  1 X+1  X  1  0  1  X  X  X  X  0 X+1 X+1  1  1  0 X+1 X+1  0  1  1  0
 0  0  0  1  1 X+1  0  1  X X+1 X+1  X  1  X  0 X+1  1  1  X  0 X+1  0 X+1  X X+1 X+1  1 X+1  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+14x^28+32x^29+60x^30+64x^31+15x^32+16x^34+32x^37+16x^38+2x^44+4x^46

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 0.00694 seconds.