The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+522x^46+1206x^47+1784x^48+4800x^49+8232x^50+8550x^51+20274x^52+23502x^53+24844x^54+35904x^55+24846x^56+11364x^57+7764x^58+2856x^59+300x^60+192x^61+96x^62+52x^63+42x^64+12x^65+4x^66

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 19.3 seconds.