The generator matrix

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

generates a code of length 39 over Z3[X]/(X^3) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+288x^73+384x^74+742x^75+954x^76+540x^77+716x^78+972x^79+504x^80+704x^81+486x^82+180x^83+14x^84+36x^85+8x^87+18x^88+12x^92+2x^96

The gray image is a linear code over GF(3) with n=351, k=8 and d=219.
This code was found by Heurico 1.16 in 0.0798 seconds.