The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  X
 0  6  0  6  0  6  3  3  3  0  6  0
 0  0  6  3  3  6  0  6  3  6  3  0

generates a code of length 12 over Z9[X]/(X^2+3,3X) who�s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+18x^21+198x^24+26x^27

The gray image is a code over GF(3) with n=108, k=5 and d=63.
This code was found by Heurico 1.16 in 0.000389 seconds.