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

generates a code of length 80 over Z3[X]/(X^3) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+474x^155+1002x^156+324x^157+930x^158+732x^159+216x^160+768x^161+642x^162+216x^163+270x^164+484x^165+54x^166+288x^167+126x^168+6x^170+2x^171+6x^173+2x^174+6x^176+4x^180+6x^182+2x^189

The gray image is a linear code over GF(3) with n=720, k=8 and d=465.
This code was found by Heurico 1.16 in 5.85 seconds.