The generator matrix

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

generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+168x^166+114x^168+138x^169+94x^171+54x^172+18x^174+102x^175+8x^177+24x^178+4x^180+4x^204

The gray image is a linear code over GF(3) with n=255, k=6 and d=166.
This code was found by Heurico 1.16 in 78.2 seconds.