The generator matrix

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

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+232x^48+372x^49+726x^50+1404x^51+2676x^52+2832x^53+6710x^54+8220x^55+8448x^56+11872x^57+8214x^58+3810x^59+2088x^60+780x^61+192x^62+264x^63+150x^64+30x^65+28x^66

The gray image is a linear code over GF(3) with n=252, k=10 and d=144.
This code was found by Heurico 1.16 in 16.2 seconds.