The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+98x^51+432x^52+1704x^53+2156x^54+5256x^55+8676x^56+9534x^57+18096x^58+23886x^59+25600x^60+30828x^61+24804x^62+12774x^63+8334x^64+3996x^65+496x^66+192x^67+108x^68+120x^69+42x^70+6x^71+6x^72+2x^75

The gray image is a code over GF(3) with n=270, k=11 and d=153.
This code was found by Heurico 1.16 in 26.1 seconds.