The generator matrix
1 1 1 1 1 1 1 1 1 3 1
0 3 0 0 3 0 3 3 6 3 0
0 0 3 0 6 3 6 3 6 0 0
0 0 0 3 6 6 0 6 6 3 0
generates a code of length 11 over Z9 who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+24x^18+54x^20+36x^21+108x^23+2x^27+18x^30
The gray image is a code over GF(3) with n=33, k=5 and d=18.
This code was found by Heurico 1.16 in 0.000532 seconds.