The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+334x^51+762x^52+1692x^53+3476x^54+3456x^55+5610x^56+8354x^57+8586x^58+9030x^59+9270x^60+4422x^61+2574x^62+1082x^63+252x^64+42x^65+70x^66+18x^67+6x^68+8x^69+4x^72

The gray image is a linear code over GF(3) with n=261, k=10 and d=153.
This code was found by Heurico 1.16 in 2.98 seconds.