The generator matrix

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

generates a code of length 69 over Z3[X]/(X^3) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+618x^133+642x^134+254x^135+1422x^136+486x^137+242x^138+804x^139+420x^140+188x^141+774x^142+348x^143+36x^144+252x^145+36x^146+6x^148+4x^150+6x^152+6x^154+6x^155+4x^156+6x^157

The gray image is a linear code over GF(3) with n=621, k=8 and d=399.
This code was found by Heurico 1.16 in 1.35 seconds.