The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+174x^111+306x^112+562x^114+1188x^115+1060x^117+2466x^118+1730x^120+3750x^121+2530x^123+5796x^124+2964x^126+6642x^127+3482x^129+7092x^130+2962x^132+6174x^133+2316x^135+3888x^136+1104x^138+1476x^139+430x^141+450x^142+198x^144+126x^145+82x^147+12x^148+46x^150+22x^153+16x^156+4x^159

The gray image is a linear code over GF(3) with n=192, k=10 and d=111.
This code was found by Heurico 1.16 in 56.1 seconds.