The generator matrix

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

generates a code of length 27 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+448x^45+924x^46+3978x^47+6872x^48+10446x^49+26346x^50+29804x^51+50124x^52+81180x^53+82746x^54+84636x^55+83088x^56+40568x^57+18390x^58+9348x^59+2054x^60+222x^61+162x^62+64x^63+12x^64+18x^65+8x^66+2x^69

The gray image is a code over GF(3) with n=243, k=12 and d=135.
This code was found by Heurico 1.16 in 153 seconds.