The generator matrix

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

generates a code of length 21 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+60x^33+96x^34+156x^35+908x^36+774x^37+1884x^38+3664x^39+6474x^40+6816x^41+12718x^42+11586x^43+6864x^44+4890x^45+1458x^46+276x^47+308x^48+24x^49+42x^50+38x^51+6x^54+6x^57

The gray image is a linear code over GF(3) with n=189, k=10 and d=99.
This code was found by Heurico 1.16 in 2.21 seconds.