The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+44x^9+136x^12+276x^15+500x^18+17496x^20+580x^21+426x^24+184x^27+40x^30

The gray image is a code over GF(3) with n=90, k=9 and d=27.
This code was found by Heurico 1.16 in 0.0878 seconds.