The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+438x^119+344x^120+852x^122+384x^123+786x^125+428x^126+642x^128+352x^129+582x^131+252x^132+468x^134+172x^135+300x^137+130x^138+198x^140+78x^141+60x^143+38x^144+42x^146+2x^147+6x^149+6x^150

The gray image is a linear code over GF(3) with n=192, k=8 and d=119.
This code was found by Heurico 1.16 in 22.4 seconds.