The generator matrix

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

generates a code of length 28 over Z3[X]/(X^3) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+72x^45+120x^47+226x^48+918x^50+678x^51+3402x^52+3798x^53+3290x^54+13608x^55+7140x^56+5112x^57+13608x^58+5076x^59+1290x^60+414x^62+162x^63+30x^65+60x^66+30x^69+12x^72+2x^75

The gray image is a linear code over GF(3) with n=252, k=10 and d=135.
This code was found by Heurico 1.16 in 3.41 seconds.