The generator matrix

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

generates a code of length 23 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+1266x^38+1630x^39+5490x^40+10038x^41+22316x^42+27306x^43+61818x^44+68416x^45+89886x^46+111600x^47+70422x^48+37134x^49+17754x^50+5548x^51+540x^52+174x^53+62x^54+24x^55+12x^56+2x^57+2x^63

The gray image is a code over GF(3) with n=207, k=12 and d=114.
This code was found by Heurico 1.16 in 125 seconds.