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  6  1  1  1
 0  X 2X  0 X+3 2X X+3 2X+6  0  6  0  6 X+3 X+6  6 2X 2X+3 X+3  X  6  X  3  X 2X 2X+3 2X+3  6 2X+3  0  0
 0  0  6  0  6  0  3  3  6  3  6  3  3  0  6  0  3  6  6  0  3  3  0  6  0  6  0  3  0  0
 0  0  0  6  3  6  6  3  3  3  0  6  3  3  6  3  6  0  6  3  0  0  6  3  0  6  0  0  0  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+74x^54+864x^58+112x^60+972x^61+6x^63+108x^67+48x^69+2x^87

The gray image is a code over GF(3) with n=270, k=7 and d=162.
This code was found by Heurico 1.16 in 0.0193 seconds.