The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^3  1
 0  X X^3+X^2 X^2+X  0 X^2+X X^3+X^2 X^3+X  0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X^3 X^3+X
 0  0 X^3  0  0 X^3 X^3 X^3 X^3  0  0  0 X^3 X^3  0  0 X^3
 0  0  0 X^3 X^3 X^3 X^3  0 X^3  0  0 X^3  0  0 X^3  0 X^3

generates a code of length 17 over Z2[X]/(X^4) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+318x^16+128x^18+64x^20+1x^32

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^4) for dimension 9.
This code was found by Heurico 1.16 in 3.81e-009 seconds.