The generator matrix

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

generates a code of length 71 over Z3[X]/(X^3) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+126x^133+318x^134+656x^135+438x^136+900x^137+1712x^138+816x^139+1116x^140+3246x^141+1038x^142+1506x^143+3302x^144+1044x^145+1086x^146+1456x^147+306x^148+318x^149+40x^150+78x^151+48x^152+8x^153+30x^154+48x^155+12x^156+12x^157+6x^158+4x^159+2x^162+4x^165+4x^168+2x^174

The gray image is a linear code over GF(3) with n=639, k=9 and d=399.
This code was found by Heurico 1.16 in 46.4 seconds.