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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+8x^66+16x^67+14x^68+16x^69+8x^70+1x^72

The gray image is a linear code over GF(2) with n=134, k=6 and d=66.
As d=66 is an upper bound for linear (134,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 0.067 seconds.