The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+300x^163+750x^164+1632x^165+1734x^166+2196x^167+2002x^168+1464x^169+1716x^170+1244x^171+1206x^172+1014x^173+1302x^174+870x^175+726x^176+402x^177+306x^178+378x^179+292x^180+102x^181+24x^182+6x^183+12x^184+2x^186+2x^189

The gray image is a linear code over GF(3) with n=765, k=9 and d=489.
This code was found by Heurico 1.16 in 1.29 seconds.