The generator matrix

 1  0  0  1  1  1 2X  1  1 X+6  1  1  1  1  1 2X+3  1  1 2X+6  1 2X+3  1
 0  1  0  1 2X+6  8  1  7  8  1 2X+8  0 X+7 X+2  3  1 2X+3 2X+8  3 X+7  1 X+3
 0  0  1  8 2X+7  8 2X+1  7  X X+5 2X+1 X+8 X+6 2X+1 X+3 2X+8  1 2X+3  1 2X X+4  0
 0  0  0 2X 2X+6  3 X+3 X+6 X+3  X  X X+6 2X+3 2X  X  6  3  6 X+3 X+6  0 2X

generates a code of length 22 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+352x^36+324x^37+1962x^38+3602x^39+5790x^40+9972x^41+20730x^42+20478x^43+35574x^44+36940x^45+20628x^46+13572x^47+5954x^48+834x^49+144x^50+204x^51+60x^52+12x^53+12x^54+2x^57

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 17.4 seconds.