The generator matrix

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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+252x^142+330x^143+816x^144+1584x^145+1128x^146+1546x^147+1926x^148+1314x^149+1898x^150+2142x^151+1110x^152+1640x^153+1782x^154+780x^155+522x^156+486x^157+132x^158+84x^159+36x^160+24x^161+22x^162+36x^163+18x^164+18x^165+18x^166+12x^167+2x^168+12x^170+2x^171+6x^174+2x^177+2x^183

The gray image is a linear code over GF(3) with n=675, k=9 and d=426.
This code was found by Heurico 1.16 in 1.8 seconds.