The generator matrix

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

generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+498x^46+1110x^47+1908x^48+4680x^49+7974x^50+9046x^51+21864x^52+20916x^53+25160x^54+37710x^55+22314x^56+12618x^57+7920x^58+2934x^59+76x^60+186x^61+144x^62+30x^63+42x^64+12x^65+4x^69

The gray image is a code over GF(3) with n=243, k=11 and d=138.
This code was found by Heurico 1.16 in 23 seconds.