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 2X  0  X  1
 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  1  1  1 2X 2X+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  X 2X 2X+1  X 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+2  1 2X+2  1  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 2X  0  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+156x^115+342x^116+154x^117+624x^118+894x^119+238x^120+1284x^121+1140x^122+318x^123+1290x^124+1464x^125+276x^126+1260x^127+1380x^128+406x^129+1428x^130+1122x^131+376x^132+1176x^133+1170x^134+220x^135+816x^136+756x^137+106x^138+546x^139+348x^140+58x^141+150x^142+120x^143+22x^144+18x^145+12x^146+6x^147+4x^150+2x^153

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 7.34 seconds.