The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 2X+3  6  1  1  1 X+6  1 2X 2X+3  1  1  1  1  1 X+3  1  X  1  1
 0  1  0  3 X+3 2X+4 2X+1 2X+2 X+4  8  2  1  1 X+6 2X+8 X+7 2X X+2  1  1 2X+7 2X X+3 X+1 X+8  1 2X+8  1 X+5  3
 0  0  1 2X+4 2X+2 2X+5 2X+1  6 X+3 X+1 X+2 2X+7  2 2X+6 2X X+4  1  4  6 X+4 X+8  7 X+6  0 2X+3  8  1 X+4  2 X+5

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+846x^55+936x^56+1308x^57+3462x^58+1872x^59+2016x^60+3984x^61+1818x^62+1268x^63+1710x^64+396x^65+12x^66+30x^67+12x^69+12x^70

The gray image is a code over GF(3) with n=270, k=9 and d=165.
This code was found by Heurico 1.16 in 0.276 seconds.