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

generates a code of length 73 over Z3[X]/(X^3) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+1266x^140+986x^141+1920x^142+2100x^143+1660x^144+1800x^145+1758x^146+1310x^147+1440x^148+1680x^149+774x^150+918x^151+954x^152+472x^153+228x^154+336x^155+44x^156+6x^157+16x^159+6x^164+2x^165+6x^166

The gray image is a linear code over GF(3) with n=657, k=9 and d=420.
This code was found by Heurico 1.16 in 1.15 seconds.