The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+32x^29+23x^30+23x^32+16x^33+8x^34+8x^36+16x^37+1x^62

The gray image is a linear code over GF(2) with n=64, k=7 and d=29.
This code was found by Heurico 1.16 in 0.016 seconds.