The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  X  1  1  1  1
 0  X  0  0  6  X X+6  X  6 X+6 2X+6 2X+3  0 X+6  X 2X+3 2X+6 2X  6  6 X+3 2X+3 2X+6 2X+3  0  6 X+6
 0  0  X  0 X+6 2X 2X  3 2X X+3  X 2X+3  3  0 X+6  3 X+6  6 X+6 2X+6 X+3  6 2X  X 2X+3  0  0
 0  0  0  X 2X+6 X+3 2X+3 X+6  6 X+6  X  3 2X+6 2X+6  6 X+6  3  0 2X X+3 2X 2X+3 X+6 2X  3  X  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+162x^46+300x^47+272x^48+390x^49+606x^50+360x^51+2478x^52+1158x^53+6220x^54+4494x^55+1320x^56+476x^57+528x^58+348x^59+174x^60+168x^61+138x^62+28x^63+42x^64+18x^65+2x^75

The gray image is a code over GF(3) with n=243, k=9 and d=138.
This code was found by Heurico 1.16 in 0.668 seconds.