The generator matrix

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

generates a code of length 79 over Z3[X]/(X^3) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+628x^153+396x^154+708x^155+1446x^156+312x^157+396x^158+696x^159+144x^160+324x^161+660x^162+216x^163+192x^164+354x^165+66x^166+6x^168+2x^171+2x^174+6x^177+2x^180+4x^183

The gray image is a linear code over GF(3) with n=711, k=8 and d=459.
This code was found by Heurico 1.16 in 0.33 seconds.