The generator matrix

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

generates a code of length 40 over Z3[X]/(X^3) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+300x^73+318x^74+762x^75+1332x^76+1086x^77+1520x^78+3408x^79+1980x^80+2186x^81+3528x^82+1302x^83+1068x^84+558x^85+120x^86+26x^87+66x^88+36x^89+18x^90+42x^91+18x^92+6x^93+2x^96

The gray image is a linear code over GF(3) with n=360, k=9 and d=219.
This code was found by Heurico 1.16 in 0.654 seconds.