The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+708x^55+1242x^56+1572x^57+2496x^58+2154x^59+2774x^60+3090x^61+2244x^62+1550x^63+1272x^64+504x^65+6x^66+42x^67+6x^68+10x^69+6x^70+6x^71

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 0.338 seconds.