The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+170x^51+294x^52+1518x^53+3078x^54+4284x^55+7806x^56+12172x^57+16896x^58+22092x^59+29028x^60+28194x^61+23652x^62+16322x^63+7038x^64+3138x^65+1058x^66+114x^67+102x^68+124x^69+42x^70+12x^71+12x^72

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 22.7 seconds.