The generator matrix

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

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+916x^126+1170x^127+2196x^128+4082x^129+3078x^130+4644x^131+6100x^132+4500x^133+5382x^134+6346x^135+4446x^136+4554x^137+4670x^138+2268x^139+2052x^140+1604x^141+522x^142+126x^143+240x^144+54x^145+66x^147+18x^150+12x^153+2x^156

The gray image is a linear code over GF(3) with n=603, k=10 and d=378.
This code was found by Heurico 1.16 in 25.5 seconds.