The generator matrix

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

generates a code of length 66 over Z3[X]/(X^3) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+832x^126+1152x^127+2088x^128+1962x^129+1584x^130+1872x^131+1854x^132+1620x^133+1710x^134+1364x^135+1044x^136+756x^137+846x^138+396x^139+378x^140+162x^141+36x^142+18x^144+8x^153

The gray image is a linear code over GF(3) with n=594, k=9 and d=378.
This code was found by Heurico 1.16 in 0.942 seconds.