The generator matrix

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

generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+148x^141+540x^142+156x^144+4860x^148+312x^150+216x^151+48x^153+24x^159+216x^160+38x^162+2x^222

The gray image is a linear code over GF(3) with n=666, k=8 and d=423.
This code was found by Heurico 1.16 in 22 seconds.