The generator matrix

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

generates a code of length 21 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+1032x^34+1026x^35+4756x^36+8982x^37+21480x^38+24092x^39+65736x^40+68310x^41+91494x^42+121386x^43+69516x^44+33358x^45+15624x^46+4332x^47+98x^48+108x^49+90x^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 133 seconds.