The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  0  1  X  1  1  1  0  1  1  1
 0  X 2X  0 2X^2+X 2X  0 2X^2+X 2X X^2 2X^2+X 2X 2X^2+X X^2+2X 2X^2+X 2X^2+X 2X X^2+X  X X^2+X 2X^2+X  X  0  0  X 2X 2X^2+2X  0
 0  0 X^2  0  0  0  0 2X^2 X^2  0 X^2 2X^2 X^2 X^2 2X^2  0 2X^2 X^2 2X^2 X^2  0  0  0 2X^2 2X^2 2X^2  0  0
 0  0  0 X^2  0  0  0  0  0 X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2  0 X^2 2X^2 X^2 2X^2 X^2 2X^2  0 2X^2 X^2 X^2
 0  0  0  0 2X^2  0 X^2 2X^2 X^2 X^2  0 X^2  0 2X^2 2X^2 2X^2 2X^2  0 X^2  0 2X^2  0 2X^2 2X^2  0 2X^2 2X^2  0
 0  0  0  0  0 X^2 X^2  0 2X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^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+64x^45+60x^47+240x^48+54x^49+198x^50+464x^51+1242x^52+252x^53+2348x^54+4374x^55+348x^56+3836x^57+4320x^58+396x^59+716x^60+216x^61+180x^62+234x^63+24x^65+62x^66+44x^69+8x^72+2x^75

The gray image is a linear code over GF(3) with n=252, k=9 and d=135.
This code was found by Heurico 1.16 in 0.759 seconds.