The generator matrix

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

generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+480x^143+436x^144+864x^145+1380x^146+312x^147+450x^148+630x^149+192x^150+396x^151+636x^152+180x^153+234x^154+270x^155+78x^156+2x^162+6x^164+6x^165+6x^168+2x^171

The gray image is a linear code over GF(3) with n=666, k=8 and d=429.
This code was found by Heurico 1.16 in 0.279 seconds.