The generator matrix

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

generates a code of length 24 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+456x^40+1014x^41+2166x^42+3588x^43+8286x^44+10188x^45+17538x^46+25860x^47+28246x^48+30312x^49+26346x^50+13654x^51+6222x^52+2586x^53+384x^54+192x^55+60x^56+32x^57+12x^58+2x^60+2x^63

The gray image is a code over GF(3) with n=216, k=11 and d=120.
This code was found by Heurico 1.16 in 16.7 seconds.