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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+1092x^144+1176x^145+1710x^146+2592x^147+1884x^148+1152x^149+2258x^150+1236x^151+1056x^152+1614x^153+876x^154+558x^155+1098x^156+564x^157+378x^158+332x^159+96x^160+6x^161+2x^162+2x^168

The gray image is a linear code over GF(3) with n=675, k=9 and d=432.
This code was found by Heurico 1.16 in 1.18 seconds.