The generator matrix

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

generates a code of length 19 over Z3[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+668x^30+864x^31+3822x^32+8388x^33+18708x^34+21594x^35+71184x^36+68562x^37+90318x^38+132842x^39+69030x^40+28956x^41+14008x^42+2190x^43+132x^44+110x^45+54x^46+6x^47+2x^48+2x^51

The gray image is a linear code over GF(3) with n=171, k=12 and d=90.
This code was found by Heurico 1.16 in 111 seconds.