The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+36x^115+222x^117+294x^118+204x^120+492x^121+308x^123+714x^124+394x^126+684x^127+306x^129+858x^130+258x^132+738x^133+258x^135+420x^136+126x^138+108x^139+14x^141+24x^142+50x^144+6x^145+8x^147+12x^150+16x^153+2x^156+2x^159+4x^162+2x^165

The gray image is a linear code over GF(3) with n=192, k=8 and d=115.
This code was found by Heurico 1.16 in 73 seconds.