The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+176x^114+156x^115+306x^116+344x^117+348x^118+756x^119+728x^120+414x^121+1212x^122+868x^123+618x^124+1332x^125+1084x^126+744x^127+1476x^128+924x^129+780x^130+1482x^131+956x^132+600x^133+1188x^134+790x^135+366x^136+630x^137+400x^138+258x^139+330x^140+186x^141+84x^142+36x^143+50x^144+26x^147+6x^148+10x^150+6x^153+10x^156+2x^162

The gray image is a linear code over GF(3) with n=192, k=9 and d=114.
This code was found by Heurico 1.16 in 5.95 seconds.