The generator matrix

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

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+18x^39+24x^40+36x^41+588x^42+24x^43+18x^44+6x^45+6x^46+6x^48+2x^63

The gray image is a code over GF(3) with n=189, k=6 and d=117.
This code was found by Heurico 1.16 in 0.00307 seconds.