The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+204x^169+414x^170+102x^172+2x^177+2x^183+2x^201+2x^204

The gray image is a linear code over GF(3) with n=765, k=6 and d=507.
This code was found by Heurico 1.16 in 3.41 seconds.