The generator matrix

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

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+220x^30+174x^31+1548x^32+2744x^33+5664x^34+7686x^35+24272x^36+21036x^37+31686x^38+45162x^39+21264x^40+10422x^41+4514x^42+438x^43+162x^44+114x^45+24x^46+12x^47+2x^48+2x^51

The gray image is a linear code over GF(3) with n=171, k=11 and d=90.
This code was found by Heurico 1.16 in 13.8 seconds.