The generator matrix

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

generates a code of length 21 over Z3[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+126x^30+222x^33+214x^36+294x^39+17856x^42+396x^45+330x^48+162x^51+62x^54+6x^57+12x^60+2x^63

The gray image is a linear code over GF(3) with n=189, k=9 and d=90.
This code was found by Heurico 1.16 in 20.1 seconds.