The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1 2X  1  1  1  0  1  1  1  1  1  1  1 2X^2+X  1  1  1  1  1
 0  1 2X^2+2X+1  2 2X^2+X X+1 2X^2+X+2  1 2X+2 2X  1 2X^2+1 2X^2+2X+1  2  1  0 2X 2X^2+X 2X^2+X+2 2X+2  0 2X^2+X  1 X+1  0 2X^2+1 2X 2X^2+2X+1
 0  0 2X^2  0  0  0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2 2X^2 X^2  0  0 X^2 X^2 X^2
 0  0  0 X^2  0 X^2 2X^2 X^2 X^2 2X^2  0 X^2 2X^2 X^2  0  0  0 2X^2 X^2  0 2X^2 2X^2  0 X^2  0 X^2 2X^2  0
 0  0  0  0 2X^2 2X^2 X^2  0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2  0 2X^2 X^2  0 2X^2 2X^2  0  0  0 X^2 2X^2 X^2 X^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+118x^48+18x^49+234x^50+336x^51+1224x^52+1044x^53+1176x^54+4698x^55+2106x^56+1840x^57+4680x^58+1440x^59+552x^60+72x^61+36x^62+70x^63+16x^66+12x^69+4x^72+6x^75

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 0.429 seconds.