The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+156x^49+414x^50+1260x^51+2406x^52+4752x^53+8014x^54+11154x^55+17112x^56+23424x^57+28686x^58+29160x^59+24234x^60+14526x^61+7650x^62+2950x^63+816x^64+168x^65+130x^66+84x^67+36x^68+6x^69+6x^70+2x^75

The gray image is a linear code over GF(3) with n=261, k=11 and d=147.
This code was found by Heurico 1.16 in 24.5 seconds.