The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  0  6
 0  X 2X  6 X+3 2X+6  3 X+6 2X+3  0 X+3 2X  6 X+6 2X+6 X+3 2X X+6 2X+6  X  X

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+144x^41+18x^42+72x^44+2x^45+6x^48

The gray image is a code over GF(3) with n=189, k=5 and d=123.
This code was found by Heurico 1.16 in 0.00218 seconds.