The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+12x^65+27x^66+40x^67+27x^68+12x^69+1x^70+1x^72+3x^74+3x^76+1x^78

The gray image is a linear code over GF(2) with n=134, k=7 and d=65.
As d=65 is an upper bound for linear (134,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.0784 seconds.