The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+300x^54+598x^57+4972x^60+294x^63+284x^66+104x^69+6x^72+2x^90

The gray image is a code over GF(3) with n=270, k=8 and d=162.
This code was found by Heurico 1.16 in 0.106 seconds.