The generator matrix

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

generates a code of length 69 over Z3[X]/(X^3) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+264x^130+216x^131+930x^132+816x^133+1656x^134+1808x^135+1092x^136+2052x^137+2424x^138+1026x^139+2322x^140+2154x^141+648x^142+936x^143+586x^144+336x^145+108x^146+96x^147+90x^148+12x^150+48x^151+4x^153+48x^154+6x^157+4x^162

The gray image is a linear code over GF(3) with n=621, k=9 and d=390.
This code was found by Heurico 1.16 in 1.38 seconds.