The generator matrix

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

generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+144x^140+744x^141+522x^142+1110x^143+1694x^144+870x^145+1800x^146+2602x^147+1146x^148+2034x^149+2230x^150+912x^151+1344x^152+1444x^153+372x^154+330x^155+154x^156+48x^157+12x^158+44x^159+6x^160+12x^161+28x^162+12x^164+32x^165+6x^166+6x^167+6x^168+10x^171+2x^174+6x^175

The gray image is a linear code over GF(3) with n=666, k=9 and d=420.
This code was found by Heurico 1.16 in 1.53 seconds.