The generator matrix

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

generates a code of length 27 over Z9[X]/(X^2+6,3X) who�s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+536x^48+432x^49+828x^50+1978x^51+1296x^52+2376x^53+4342x^54+1944x^55+2484x^56+2254x^57+702x^58+144x^59+288x^60+76x^63+2x^69

The gray image is a code over GF(3) with n=243, k=9 and d=144.
This code was found by Heurico 1.16 in 9.51 seconds.