The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  X  X  6  1
 0  X 2X  6 X+3 2X+6  3 X+6 2X+3  0 X+3  6 X+6 X+3 2X  X X+6 2X+6  X  3

generates a code of length 20 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+120x^39+54x^40+64x^42+2x^45+2x^51

The gray image is a code over GF(3) with n=180, k=5 and d=117.
This code was found by Heurico 1.16 in 0.0046 seconds.