The generator matrix

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

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+1398x^150+1290x^151+1206x^152+2790x^153+1842x^154+642x^155+2574x^156+1482x^157+726x^158+1868x^159+822x^160+438x^161+1236x^162+612x^163+228x^164+396x^165+108x^166+10x^168+14x^171

The gray image is a linear code over GF(3) with n=702, k=9 and d=450.
This code was found by Heurico 1.16 in 3.21 seconds.