The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+300x^122+280x^123+642x^125+378x^126+810x^128+346x^129+774x^131+324x^132+570x^134+308x^135+492x^137+226x^138+444x^140+162x^141+174x^143+108x^144+138x^146+40x^147+30x^149+8x^150+2x^153+2x^162+2x^171

The gray image is a linear code over GF(3) with n=198, k=8 and d=122.
This code was found by Heurico 1.16 in 12.3 seconds.