The generator matrix

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

generates a code of length 9 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+54x^12+324x^14+180x^15+1296x^17+3156x^18+1296x^20+216x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=81, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0123 seconds.