The generator matrix

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

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+246x^149+396x^150+324x^151+1368x^152+1466x^153+1674x^154+3684x^155+3100x^156+3636x^157+5544x^158+4732x^159+4356x^160+7350x^161+4962x^162+4266x^163+4554x^164+2860x^165+1656x^166+1452x^167+416x^168+126x^169+246x^170+158x^171+198x^173+82x^174+120x^176+14x^177+18x^179+24x^180+6x^182+6x^183+4x^186+4x^189

The gray image is a linear code over GF(3) with n=720, k=10 and d=447.
This code was found by Heurico 1.16 in 13 seconds.