The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2X^2  1  1  X  1  1  X  X  1  1  1  1
 0  X  0  0 2X^2  0 X^2 2X^2+X  X 2X^2+2X 2X^2+2X X^2+X X^2+2X 2X^2+2X X^2+X  X  X X^2  X X^2 X^2 X^2+2X  0 2X^2+2X X^2+X 2X^2+2X X^2+2X  X
 0  0  X  0 2X^2+X X^2 2X^2+X 2X^2+2X X^2+X X^2 2X 2X^2 2X^2+X X^2+X X^2+2X X^2+X X^2 2X^2+2X  0  X  0 2X  X 2X^2+X  X X^2 2X^2+X X^2
 0  0  0  X 2X^2+2X 2X^2+2X 2X^2+X 2X 2X^2  X 2X 2X^2+2X 2X  X  X 2X  X X^2+X X^2+X 2X^2+2X 2X  X 2X^2+X  0 2X^2 2X^2+2X 2X^2 2X^2

generates a code of length 28 over Z3[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+186x^48+240x^49+426x^50+474x^51+708x^52+516x^53+2990x^54+1722x^55+2904x^56+5408x^57+1686x^58+726x^59+648x^60+390x^61+222x^62+226x^63+114x^64+66x^65+28x^66+2x^72

The gray image is a linear code over GF(3) with n=252, k=9 and d=144.
This code was found by Heurico 1.16 in 0.851 seconds.