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

generates a code of length 30 over Z9[X]/(X^2+3,3X) 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 0.107 seconds.