The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+282x^125+128x^126+288x^128+260x^129+348x^131+90x^132+210x^134+100x^135+102x^137+68x^138+102x^140+54x^141+54x^143+10x^144+42x^146+14x^147+18x^149+12x^152+4x^171

The gray image is a linear code over GF(3) with n=198, k=7 and d=125.
This code was found by Heurico 1.16 in 0.155 seconds.