The generator matrix

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

generates a code of length 8 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+22x^9+144x^10+258x^12+864x^13+924x^15+15336x^16+940x^18+1152x^19+30x^21+12x^24

The gray image is a code over GF(3) with n=72, k=9 and d=27.
This code was found by Heurico 1.16 in 0.0733 seconds.