The generator matrix

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

generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+198x^143+144x^144+198x^146+48x^147+54x^149+36x^150+18x^152+8x^162+18x^164+6x^165

The gray image is a linear code over GF(3) with n=219, k=6 and d=143.
This code was found by Heurico 1.16 in 0.206 seconds.