The generator matrix

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

generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+160x^114+222x^115+468x^116+906x^117+774x^118+1056x^119+1754x^120+1398x^121+1530x^122+2416x^123+1920x^124+2226x^125+3330x^126+2736x^127+2766x^128+3844x^129+3168x^130+3012x^131+3876x^132+2814x^133+2802x^134+3572x^135+2304x^136+1914x^137+2532x^138+1380x^139+1128x^140+1166x^141+564x^142+462x^143+390x^144+144x^145+114x^146+94x^147+66x^148+18x^149+14x^150+6x^151+2x^156

The gray image is a linear code over GF(3) with n=195, k=10 and d=114.
This code was found by Heurico 1.16 in 60.1 seconds.