The generator matrix
1 1 1 1 1 1 1 1 1 X X 0 1
0 X 2X 6 X+3 2X+6 3 X+6 2X+3 X+3 2X X 0
generates a code of length 13 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+60x^24+54x^26+122x^27+6x^30
The gray image is a code over GF(3) with n=117, k=5 and d=72.
This code was found by Heurico 1.16 in 0.000448 seconds.