The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+272x^120+596x^123+934x^126+916x^129+1090x^132+1102x^135+904x^138+478x^141+162x^144+38x^147+22x^150+14x^153+12x^156+8x^159+10x^162+2x^168

The gray image is a linear code over GF(3) with n=198, k=8 and d=120.
This code was found by Heurico 1.16 in 6.87 seconds.