The generator matrix

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

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+40x^33+60x^34+126x^35+488x^36+234x^37+258x^38+1020x^39+3216x^40+372x^41+4750x^42+6330x^43+450x^44+1364x^45+270x^46+210x^47+324x^48+96x^49+42x^50+16x^51+10x^54+6x^57

The gray image is a linear code over GF(3) with n=189, k=9 and d=99.
This code was found by Heurico 1.16 in 0.465 seconds.