The generator matrix

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

generates a code of length 73 over Z3[X]/(X^3) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+518x^141+672x^142+480x^143+1150x^144+750x^145+318x^146+702x^147+378x^148+216x^149+468x^150+354x^151+108x^152+296x^153+114x^154+6x^155+4x^156+2x^159+6x^161+8x^162+8x^165+2x^168

The gray image is a linear code over GF(3) with n=657, k=8 and d=423.
This code was found by Heurico 1.16 in 0.27 seconds.