The generator matrix

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

generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+198x^31+450x^32+128x^33+552x^34+414x^35+186x^36+816x^37+918x^38+252x^39+846x^40+954x^41+122x^42+438x^43+180x^44+36x^45+66x^46+2x^51+2x^54

The gray image is a linear code over GF(3) with n=57, k=8 and d=31.
This code was found by Heurico 1.16 in 6.28 seconds.