The generator matrix

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

generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+630x^163+690x^164+534x^165+840x^166+726x^167+598x^168+516x^169+372x^170+264x^171+420x^172+366x^173+132x^174+330x^175+114x^176+2x^177+6x^181+2x^183+6x^184+2x^189+4x^192+6x^193

The gray image is a linear code over GF(3) with n=756, k=8 and d=489.
This code was found by Heurico 1.16 in 1.54 seconds.