The generator matrix

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

generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+1062x^140+1474x^141+2088x^142+4092x^143+4112x^144+3672x^145+6066x^146+5652x^147+3636x^148+5994x^149+5262x^150+3798x^151+4200x^152+2632x^153+1566x^154+2046x^155+926x^156+306x^157+270x^158+62x^159+42x^161+14x^162+36x^164+28x^165+6x^168+6x^173

The gray image is a linear code over GF(3) with n=666, k=10 and d=420.
This code was found by Heurico 1.16 in 51.2 seconds.