The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  0  1  1
 0  X  0  0  3  X X+3  X  3 X+3 2X+3 2X+6  0 X+3  6 X+3 2X+3  6  X 2X+6  0
 0  0  X  0 X+3 2X 2X  6 2X X+6  X 2X+6  6  0 2X+3 2X+3 X+3  X  0  6 2X+3
 0  0  0  X 2X+3 X+6 2X+6 X+3  3 X+3  X  6 2X+3 2X+3 2X+6 2X  6  0  6 2X+3  X

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+282x^35+442x^36+108x^37+1404x^38+624x^39+1944x^40+3084x^41+2790x^42+3564x^43+3156x^44+988x^45+216x^46+738x^47+240x^48+84x^50+18x^51

The gray image is a code over GF(3) with n=189, k=9 and d=105.
This code was found by Heurico 1.16 in 0.73 seconds.