The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+10x^65+20x^66+14x^67+6x^68+6x^69+4x^70+2x^71+1x^72

The gray image is a linear code over GF(2) with n=132, k=6 and d=65.
As d=65 is an upper bound for linear (132,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 0.0435 seconds.