The generator matrix

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

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+190x^30+54x^31+252x^32+280x^33+552x^34+372x^35+344x^36+30x^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=7 and d=90.
This code was found by Heurico 1.16 in 0.114 seconds.