The generator matrix
1 0 1 1 1 1 1 1 1
0 1 2X+7 8 X+6 X+1 8 0 0
0 0 6 0 0 0 3 0 3
0 0 0 3 0 0 6 0 3
0 0 0 0 6 0 6 3 0
0 0 0 0 0 3 3 3 0
generates a code of length 9 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+30x^9+18x^10+246x^12+144x^13+810x^14+1110x^15+6750x^16+3240x^17+28380x^18+13212x^19+3240x^20+1482x^21+288x^22+78x^24+20x^27
The gray image is a code over GF(3) with n=81, k=10 and d=27.
This code was found by Heurico 1.16 in 0.26 seconds.