The generator matrix
1 1 1 1 1 1 1 1 1 X X X X
0 6 0 0 6 0 6 6 3 6 3 0 0
0 0 6 0 3 6 3 6 3 0 0 0 6
0 0 0 6 3 3 0 3 3 6 3 6 3
generates a code of length 13 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 21.
Homogenous weight enumerator: w(x)=1x^0+28x^21+82x^24+486x^26+90x^27+26x^30+8x^33+8x^36
The gray image is a code over GF(3) with n=117, k=6 and d=63.
This code was found by Heurico 1.16 in 0.00109 seconds.