The generator matrix

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

generates a code of length 69 over Z3[X]/(X^3) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+294x^128+354x^129+690x^130+1692x^131+2340x^132+2370x^133+3564x^134+4696x^135+3540x^136+6144x^137+7206x^138+3810x^139+6510x^140+6222x^141+3204x^142+2874x^143+1348x^144+774x^145+492x^146+252x^147+102x^148+150x^149+114x^150+54x^151+114x^152+46x^153+6x^154+36x^155+18x^156+24x^157+6x^160+2x^162

The gray image is a linear code over GF(3) with n=621, k=10 and d=384.
This code was found by Heurico 1.16 in 10.1 seconds.