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.