The generator matrix

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

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+888x^36+1680x^37+5148x^38+9260x^39+22542x^40+25488x^41+61266x^42+73236x^43+89934x^44+109788x^45+75684x^46+35118x^47+16118x^48+4692x^49+288x^50+222x^51+42x^52+30x^53+14x^54+2x^57

The gray image is a code over GF(3) with n=198, k=12 and d=108.
This code was found by Heurico 1.16 in 116 seconds.