The generator matrix

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

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+72x^166+42x^167+118x^168+168x^169+84x^170+78x^171+54x^172+30x^173+30x^174+12x^175+6x^176+4x^177+6x^178+8x^180+12x^190+4x^195

The gray image is a linear code over GF(3) with n=255, k=6 and d=166.
This code was found by Heurico 1.13 in 0.113 seconds.