The generator matrix

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

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+740x^141+630x^142+1634x^144+486x^145+900x^147+432x^148+1112x^150+342x^151+222x^153+54x^154+2x^162+4x^171+2x^186

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 8.38 seconds.