The generator matrix

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

generates a code of length 27 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+810x^49+762x^50+1302x^51+3246x^52+1926x^53+2486x^54+4074x^55+1974x^56+1308x^57+1560x^58+186x^59+6x^60+24x^61+12x^62+6x^64

The gray image is a code over GF(3) with n=243, k=9 and d=147.
This code was found by Heurico 1.16 in 0.236 seconds.