The generator matrix

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

generates a code of length 67 over Z3[X]/(X^3) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+304x^126+756x^127+684x^128+414x^129+1998x^130+990x^131+414x^132+3348x^133+2160x^134+372x^135+3780x^136+1638x^137+234x^138+1728x^139+360x^140+234x^141+54x^142+142x^144+54x^147+14x^153+2x^162+2x^171

The gray image is a linear code over GF(3) with n=603, k=9 and d=378.
This code was found by Heurico 1.16 in 84 seconds.