The generator matrix

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

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+212x^114+168x^115+318x^116+1190x^117+576x^118+846x^119+2324x^120+1092x^121+1290x^122+3220x^123+1506x^124+1554x^125+4580x^126+1968x^127+1992x^128+5380x^129+2238x^130+2268x^131+5524x^132+2196x^133+2082x^134+4842x^135+1734x^136+1386x^137+3358x^138+1014x^139+960x^140+1564x^141+498x^142+312x^143+496x^144+96x^145+96x^146+72x^147+30x^148+18x^149+26x^150+6x^151+4x^153+4x^156+2x^159+2x^162+4x^165

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 50 seconds.