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

generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+1176x^142+1302x^143+1638x^144+2310x^145+1872x^146+1138x^147+1956x^148+1656x^149+952x^150+1686x^151+1104x^152+836x^153+924x^154+438x^155+208x^156+360x^157+102x^158+2x^159+12x^160+6x^164+4x^165

The gray image is a linear code over GF(3) with n=666, k=9 and d=426.
This code was found by Heurico 1.16 in 1.06 seconds.