The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+590x^165+564x^166+906x^167+946x^168+468x^169+432x^170+506x^171+402x^172+324x^173+428x^174+288x^175+270x^176+342x^177+60x^178+6x^179+2x^180+6x^182+6x^183+2x^186+8x^189+2x^198+2x^201

The gray image is a linear code over GF(3) with n=765, k=8 and d=495.
This code was found by Heurico 1.16 in 0.677 seconds.