The generator matrix

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

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+756x^165+468x^166+648x^167+1422x^168+360x^169+770x^171+324x^172+808x^174+288x^175+324x^176+360x^177+18x^178+8x^180+2x^198+2x^201+2x^207

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 0.414 seconds.