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

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+462x^155+908x^156+714x^157+552x^158+760x^159+522x^160+408x^161+612x^162+396x^163+312x^164+432x^165+144x^166+144x^167+108x^168+54x^170+6x^175+6x^176+6x^179+8x^180+4x^183+2x^186

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 1.55 seconds.