The generator matrix

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

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+282x^33+684x^34+1884x^35+1900x^36+1590x^37+5472x^38+3456x^39+2070x^40+1872x^41+420x^42+18x^43+6x^44+16x^45+12x^46

The gray image is a linear code over GF(3) with n=171, k=9 and d=99.
This code was found by Heurico 1.16 in 0.194 seconds.