The generator matrix

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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+462x^145+870x^146+516x^147+750x^148+960x^149+312x^150+564x^151+522x^152+234x^153+486x^154+444x^155+144x^156+144x^157+90x^158+2x^159+18x^160+12x^161+2x^162+6x^164+6x^167+2x^168+6x^169+6x^173+2x^177

The gray image is a linear code over GF(3) with n=675, k=8 and d=435.
This code was found by Heurico 1.16 in 13.2 seconds.