The generator matrix

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

generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+38x^111+12x^113+132x^114+162x^116+328x^117+558x^119+444x^120+1044x^122+648x^123+1674x^125+848x^126+2400x^128+962x^129+2790x^131+1134x^132+2286x^134+822x^135+1446x^137+558x^138+582x^140+274x^141+144x^143+150x^144+24x^146+82x^147+70x^150+32x^153+20x^156+10x^159+6x^162+2x^165

The gray image is a linear code over GF(3) with n=195, k=9 and d=111.
This code was found by Heurico 1.16 in 6.89 seconds.