The generator matrix

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

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+408x^38+458x^39+1956x^40+3420x^41+7470x^42+8826x^43+18906x^44+25266x^45+31692x^46+33420x^47+25330x^48+12174x^49+5886x^50+1414x^51+246x^52+156x^53+80x^54+24x^55+12x^56+2x^60

The gray image is a code over GF(3) with n=207, k=11 and d=114.
This code was found by Heurico 1.16 in 16 seconds.