The generator matrix

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

generates a code of length 17 over Z3[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+42x^29+286x^30+492x^31+654x^32+1032x^33+1302x^34+1176x^35+980x^36+456x^37+54x^38+50x^39+18x^40+18x^41

The gray image is a linear code over GF(3) with n=153, k=8 and d=87.
This code was found by Heurico 1.16 in 0.0255 seconds.