The generator matrix

 1  0  0  1  1  1 2X  1  1 X+3  1  1  1  1  1 2X  1  1 2X+6  1  0  1
 0  1  0  1 2X+3  8  1  4  8  1 2X+8  0 X+4 X+8  6  1 2X+3 2X+2  0 X+1  1 X+6
 0  0  1  8 2X+4  8 2X+1  4  X X+2 2X+1 X+8 X+3 2X+1 X+6 2X+8  1 2X+6  1 2X X+5 X+1
 0  0  0 2X 2X+3  6 X+6 X+3 X+6  X  X X+3 2X+6 2X  X  3  6  3 X+6 X+3  6 2X+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+380x^36+234x^37+1950x^38+3764x^39+5856x^40+9810x^41+20792x^42+20616x^43+34458x^44+38190x^45+20502x^46+13422x^47+5884x^48+858x^49+126x^50+232x^51+48x^52+12x^53+10x^54+2x^63

The gray image is a code over GF(3) with n=198, k=11 and d=108.
This code was found by Heurico 1.16 in 15 seconds.