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

generates a code of length 77 over Z3[X]/(X^3) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+306x^149+1146x^150+468x^151+600x^152+926x^153+306x^154+450x^155+922x^156+276x^157+306x^158+522x^159+78x^160+90x^161+114x^162+18x^164+2x^165+6x^172+6x^173+10x^174+6x^176+2x^192

The gray image is a linear code over GF(3) with n=693, k=8 and d=447.
This code was found by Heurico 1.16 in 755 seconds.