The generator matrix

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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+606x^161+802x^162+360x^163+1098x^164+706x^165+198x^166+702x^167+512x^168+168x^169+480x^170+342x^171+78x^172+342x^173+134x^174+6x^180+6x^182+6x^184+6x^185+2x^186+4x^189+2x^195

The gray image is a linear code over GF(3) with n=747, k=8 and d=483.
This code was found by Heurico 1.16 in 1.28 seconds.