The generator matrix

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

generates a code of length 79 over Z3[X]/(X^3) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+352x^150+294x^151+1140x^152+1348x^153+798x^154+1836x^155+1748x^156+1038x^157+2280x^158+2098x^159+1068x^160+2088x^161+1278x^162+528x^163+798x^164+558x^165+132x^166+96x^167+74x^168+6x^169+12x^170+26x^171+6x^172+14x^174+18x^175+20x^177+6x^180+12x^182+6x^183+2x^189+2x^192

The gray image is a linear code over GF(3) with n=711, k=9 and d=450.
This code was found by Heurico 1.16 in 1.69 seconds.