The generator matrix

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

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+306x^34+366x^35+1746x^36+3222x^37+5796x^38+8796x^39+22710x^40+21210x^41+32154x^42+41022x^43+21378x^44+11688x^45+5508x^46+792x^47+258x^48+132x^49+30x^50+30x^51+2x^54

The gray image is a code over GF(3) with n=189, k=11 and d=102.
This code was found by Heurico 1.16 in 13.3 seconds.