The generator matrix

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

generates a code of length 22 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+72x^36+156x^37+378x^38+486x^39+720x^40+858x^41+2518x^42+1710x^43+3768x^44+4706x^45+1950x^46+1044x^47+564x^48+270x^49+240x^50+152x^51+54x^52+30x^53+6x^54

The gray image is a code over GF(3) with n=198, k=9 and d=108.
This code was found by Heurico 1.16 in 0.506 seconds.