The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) who�s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+420x^53+652x^54+2160x^55+2730x^56+3670x^57+6948x^58+6492x^59+8224x^60+12084x^61+6420x^62+4430x^63+3060x^64+1338x^65+272x^66+36x^67+78x^68+2x^69+12x^70+18x^71+2x^81

The gray image is a code over GF(3) with n=270, k=10 and d=159.
This code was found by Heurico 1.16 in 3.07 seconds.