The generator matrix

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

generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+300x^112+528x^113+324x^114+1368x^115+2046x^116+804x^117+3108x^118+4038x^119+1216x^120+5736x^121+6696x^122+1934x^123+9036x^124+9678x^125+2546x^126+11844x^127+12444x^128+3278x^129+13818x^130+14190x^131+3494x^132+13350x^133+13302x^134+2556x^135+10416x^136+8646x^137+2046x^138+6204x^139+4788x^140+956x^141+2580x^142+1752x^143+374x^144+768x^145+522x^146+94x^147+186x^148+96x^149+34x^150+18x^151+6x^152+8x^153+6x^156+4x^159+2x^165+4x^168+2x^171

The gray image is a linear code over GF(3) with n=195, k=11 and d=112.
This code was found by Heurico 1.16 in 486 seconds.