The generator matrix

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

generates a code of length 17 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+122x^33+54x^34+62x^36+4x^42

The gray image is a linear code over GF(3) with n=153, k=5 and d=99.
As d=101 is an upper bound for linear (153,5,3)-codes, this code is optimal over Z3[X]/(X^3) for dimension 5.
This code was found by Heurico 1.16 in 0.000878 seconds.