The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  0  X  X  0  0  X  X  X  X
 0  0  X  0  0  0  X  0  X  X  X  X  X  X  0  0  0  0  0  X  X  0  0  X  X  0  X  X  X  X  0  0
 0  0  0  X  0  X  X  X  X  0  0  X  0  X  X  0  0  0  X  X  0  0  X  X  X  X  0  0  0  X  X  0
 0  0  0  0  X  X  0  0  X  X  0  0  X  X  X  X  0  X  X  0  0  0  0  X  X  0  X  0  X  0  X  X

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

Homogenous weight enumerator: w(x)=1x^0+62x^32+1x^64

The gray image is a linear code over GF(2) with n=64, k=6 and d=32.
As d=32 is an upper bound for linear (64,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 0.00548 seconds.