The generator matrix

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

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+828x^34+1260x^35+4534x^36+9582x^37+20970x^38+24782x^39+65124x^40+68460x^41+90756x^42+121662x^43+69786x^44+33652x^45+15528x^46+4212x^47+74x^48+144x^49+66x^50+18x^51+2x^57

The gray image is a code over GF(3) with n=189, k=12 and d=102.
This code was found by Heurico 1.16 in 108 seconds.