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  1  1  1 2X^2+2X  1 X^2+2X X^2  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+1 2X+2 2X^2+2X+2 X^2+1  1  1  X  1  1 2X^2
 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 2X^2+2X+2 2X^2+X X^2+2X+1 2X X^2+1 2X^2+2X+2 X^2+1 2X^2+1 2X^2+2X+1 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+1290x^154+1356x^155+1578x^156+2436x^157+1854x^158+1230x^159+1818x^160+1506x^161+1014x^162+1560x^163+912x^164+678x^165+990x^166+528x^167+262x^168+492x^169+156x^170+14x^171+6x^173+2x^177

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 2.69 seconds.