The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+76x^123+60x^124+72x^125+284x^126+90x^127+126x^128+198x^129+96x^130+84x^131+186x^132+84x^133+78x^134+194x^135+60x^136+54x^137+138x^138+66x^139+42x^140+72x^141+18x^142+30x^143+44x^144+12x^145+2x^147+4x^150+6x^153+2x^156+2x^159+2x^162+2x^165+2x^168

The gray image is a linear code over GF(3) with n=198, k=7 and d=123.
This code was found by Heurico 1.16 in 0.114 seconds.