The generator matrix

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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+54x^173+16x^174+8x^180+2x^183

The gray image is a linear code over GF(3) with n=258, k=4 and d=173.
This code was found by Heurico 1.16 in 0.548 seconds.