The generator matrix

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

generates a code of length 73 over Z3[X]/(X^3) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+1220x^138+1224x^139+2142x^140+3970x^141+3618x^142+4536x^143+5914x^144+5274x^145+4446x^146+6278x^147+3798x^148+4176x^149+4468x^150+2700x^151+1944x^152+1726x^153+828x^154+252x^155+356x^156+54x^157+76x^159+36x^162+12x^165

The gray image is a linear code over GF(3) with n=657, k=10 and d=414.
This code was found by Heurico 1.16 in 9.61 seconds.