The generator matrix

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

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+54x^46+162x^47+440x^48+324x^49+732x^50+1704x^51+1584x^52+2832x^53+2938x^54+2808x^55+2880x^56+2398x^57+540x^58+150x^59+12x^60+36x^61+48x^62+2x^63+22x^66+12x^69+2x^72+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 19.8 seconds.