The generator matrix

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

generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+90x^45+144x^46+276x^47+1350x^48+618x^49+2262x^50+5592x^51+4110x^52+7056x^53+13544x^54+6972x^55+7212x^56+7278x^57+1164x^58+636x^59+450x^60+102x^61+54x^62+108x^63+12x^64+12x^66+6x^69

The gray image is a code over GF(3) with n=243, k=10 and d=135.
This code was found by Heurico 1.16 in 3.21 seconds.