The generator matrix

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

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+144x^29+914x^30+1242x^31+1890x^32+2688x^33+4968x^34+3150x^35+3074x^36+1242x^37+306x^38+46x^39+18x^41

The gray image is a linear code over GF(3) with n=153, k=9 and d=87.
This code was found by Heurico 1.16 in 0.172 seconds.