The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+103x^64+40x^66+58x^68+18x^70+18x^72+4x^74+2x^76+2x^78+8x^80+2x^88

The gray image is a linear code over GF(2) with n=134, k=8 and d=64.
As d=64 is an upper bound for linear (134,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.0693 seconds.