The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+282x^116+290x^117+1446x^119+936x^120+2598x^122+1702x^123+4230x^125+2078x^126+5400x^128+2948x^129+6228x^131+3430x^132+6846x^134+3168x^135+5562x^137+2558x^138+4032x^140+1598x^141+1974x^143+688x^144+606x^146+184x^147+156x^149+70x^150+6x^152+10x^153+8x^156+4x^159+2x^162+8x^165

The gray image is a linear code over GF(3) with n=198, k=10 and d=116.
This code was found by Heurico 1.16 in 52.3 seconds.