The generator matrix

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

generates a code of length 80 over Z3[X]/(X^3) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+588x^149+948x^150+1836x^151+3870x^152+5222x^153+5904x^154+9510x^155+9646x^156+11538x^157+15060x^158+13536x^159+14616x^160+19308x^161+14896x^162+12474x^163+13440x^164+9418x^165+6390x^166+4158x^167+2070x^168+1152x^169+780x^170+296x^171+36x^172+234x^173+52x^174+78x^176+24x^177+36x^179+24x^180+6x^185

The gray image is a linear code over GF(3) with n=720, k=11 and d=447.
This code was found by Heurico 1.16 in 86.8 seconds.