The generator matrix

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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+486x^140+384x^141+612x^142+2340x^143+1674x^144+2178x^145+4692x^146+2924x^147+4086x^148+8088x^149+3720x^150+4950x^151+8514x^152+3506x^153+3492x^154+3888x^155+1302x^156+720x^157+702x^158+138x^159+222x^161+106x^162+126x^164+72x^165+84x^167+6x^168+12x^170+14x^171+6x^173+4x^174

The gray image is a linear code over GF(3) with n=675, k=10 and d=420.
This code was found by Heurico 1.16 in 11.1 seconds.