The generator matrix

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

generates a code of length 80 over Z3[X]/(X^3) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+1014x^154+1614x^155+1246x^156+2934x^157+2124x^158+854x^159+2142x^160+1356x^161+614x^162+1506x^163+1230x^164+492x^165+972x^166+666x^167+254x^168+504x^169+138x^170+18x^171+2x^174+2x^186

The gray image is a linear code over GF(3) with n=720, k=9 and d=462.
This code was found by Heurico 1.16 in 19 seconds.