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.