The generator matrix

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

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+60x^30+180x^32+206x^33+378x^34+1080x^35+3206x^36+1512x^37+3618x^38+6148x^39+1512x^40+1440x^41+222x^42+96x^45+20x^48+4x^51

The gray image is a linear code over GF(3) with n=171, k=9 and d=90.
This code was found by Heurico 1.16 in 0.242 seconds.