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

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+210x^56+108x^57+162x^58+378x^59+540x^60+324x^61+282x^62+42x^63+60x^65+36x^66+36x^68+6x^71+2x^81

The gray image is a code over GF(3) with n=270, k=7 and d=168.
This code was found by Heurico 1.16 in 0.0475 seconds.