The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+144x^128+114x^129+186x^131+72x^132+84x^134+10x^135+30x^137+16x^138+24x^140+12x^141+6x^143+10x^144+6x^146+8x^147+6x^149

The gray image is a linear code over GF(3) with n=198, k=6 and d=128.
This code was found by Heurico 1.16 in 0.04 seconds.