The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+210x^121+210x^122+84x^123+228x^124+282x^125+50x^126+138x^127+204x^128+20x^129+126x^130+66x^131+44x^132+108x^133+84x^134+24x^135+90x^136+66x^137+8x^138+30x^139+30x^140+8x^141+24x^142+30x^143+6x^145+12x^148+2x^150+2x^156

The gray image is a linear code over GF(3) with n=192, k=7 and d=121.
This code was found by Heurico 1.16 in 0.922 seconds.