The generator matrix

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

generates a code of length 17 over Z3[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+10x^30+126x^32+42x^33+324x^34+180x^35+14x^36+18x^38+12x^39+2x^48

The gray image is a linear code over GF(3) with n=153, k=6 and d=90.
This code was found by Heurico 1.16 in 0.00181 seconds.