The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+12x^127+66x^128+240x^129+72x^130+42x^131+30x^132+48x^133+16x^135+24x^136+42x^137+112x^138+12x^140+6x^142+2x^144+2x^147+2x^171

The gray image is a linear code over GF(3) with n=198, k=6 and d=127.
This code was found by Heurico 1.16 in 0.41 seconds.