The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+8x^33+3x^34+3x^36+1x^38

The gray image is a linear code over GF(2) with n=64, k=4 and d=33.
As d=33 is an upper bound for linear (64,4,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 4.
This code was found by Heurico 1.16 in 0.00294 seconds.