The generator matrix

 1  0  1  1  1  1  1  1 2X^2  1  1 2X  1 2X  1  1  1
 0  1  1  2 2X^2 2X^2+2  0 2X+1  1 2X X+1  1 2X^2+2X+1  1 2X 2X^2+X+2 X^2+1
 0  0 2X X^2 X^2+X 2X^2+X X^2+2X  X  X 2X^2+2X X^2+2X 2X^2 X^2 2X 2X^2 2X^2+2X  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+460x^30+162x^31+576x^32+1360x^33+1308x^34+1020x^35+1424x^36+138x^37+12x^38+74x^39+12x^40+12x^41+2x^42

The gray image is a linear code over GF(3) with n=153, k=8 and d=90.
This code was found by Heurico 1.16 in 72.9 seconds.