The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  X  0  6 2X X+3  X 2X+3 2X  6 X+3 2X+3  3  3 2X 2X+3 X+3  3  6 2X  X  X 2X+3 X+3  6 2X  3
 0  0  X 2X+3  6 2X+3  X X+3 2X+6  6 X+3 2X  X 2X+6 2X+3  3 2X  0 X+3  0  3 X+6  X  6 2X+6  3 X+6

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+36x^49+60x^50+128x^51+288x^52+42x^53+1004x^54+414x^55+18x^56+30x^57+54x^58+30x^59+50x^60+18x^61+12x^62+2x^78

The gray image is a code over GF(3) with n=243, k=7 and d=147.
This code was found by Heurico 1.16 in 0.0134 seconds.