The generator matrix

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

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+72x^37+318x^38+690x^39+534x^40+846x^41+1456x^42+894x^43+876x^44+674x^45+102x^46+54x^47+12x^48+18x^49+12x^50+2x^51

The gray image is a code over GF(3) with n=189, k=8 and d=111.
This code was found by Heurico 1.16 in 0.0255 seconds.