The generator matrix

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

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+422x^48+1250x^51+324x^52+3784x^54+1296x^55+2916x^56+6218x^57+1296x^58+1514x^60+572x^63+74x^66+8x^69+8x^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 0.721 seconds.