The generator matrix

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

generates a code of length 19 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+110x^33+174x^34+594x^35+830x^36+774x^37+1086x^38+1598x^39+636x^40+582x^41+100x^42+30x^43+6x^44+30x^45+6x^46+4x^48

The gray image is a linear code over GF(3) with n=171, k=8 and d=99.
This code was found by Heurico 1.16 in 0.0297 seconds.