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

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

Homogenous weight enumerator: w(x)=1x^0+190x^48+138x^49+192x^50+262x^51+780x^52+384x^53+2302x^54+1362x^55+288x^56+192x^57+60x^58+96x^59+176x^60+84x^61+12x^62+34x^63+6x^64+2x^75

The gray image is a code over GF(3) with n=243, k=8 and d=144.
This code was found by Heurico 1.16 in 0.296 seconds.