The generator matrix

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

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+198x^115+336x^116+146x^117+612x^118+900x^119+244x^120+1098x^121+1260x^122+366x^123+1392x^124+1272x^125+360x^126+1278x^127+1332x^128+300x^129+1506x^130+1290x^131+280x^132+1188x^133+1128x^134+200x^135+840x^136+762x^137+156x^138+474x^139+348x^140+106x^141+138x^142+108x^143+22x^144+24x^145+12x^146+2x^147+4x^150

The gray image is a linear code over GF(3) with n=192, k=9 and d=115.
This code was found by Heurico 1.16 in 6.18 seconds.