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

generates a code of length 77 over Z3[X]/(X^3) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+1068x^148+1662x^149+1310x^150+2400x^151+2106x^152+1070x^153+1914x^154+1668x^155+796x^156+1542x^157+1266x^158+524x^159+1038x^160+576x^161+244x^162+294x^163+168x^164+20x^165+6x^167+2x^168+6x^172+2x^180

The gray image is a linear code over GF(3) with n=693, k=9 and d=444.
This code was found by Heurico 1.16 in 1.45 seconds.