The generator matrix

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

generates a code of length 78 over Z3[X]/(X^3) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+284x^150+120x^151+1152x^152+516x^153+396x^154+900x^155+584x^156+192x^157+486x^158+536x^159+222x^160+792x^161+246x^162+36x^163+72x^164+10x^165+6x^166+4x^168+2x^180+2x^186+2x^195

The gray image is a linear code over GF(3) with n=702, k=8 and d=450.
This code was found by Heurico 1.16 in 0.329 seconds.