The generator matrix

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

generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+225x^64+149x^68+77x^72+30x^76+16x^80+13x^84+1x^88

The gray image is a linear code over GF(2) with n=136, k=9 and d=64.
As d=64 is an upper bound for linear (136,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 55.4 seconds.