The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 0 9
0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 21 24 12 6 3 3
generates a code of length 21 over Z27 who´s minimum homogenous weight is 41.
Homogenous weight enumerator: w(x)=1x^0+144x^41+18x^42+72x^44+2x^45+6x^48
The gray image is a code over GF(3) with n=189, k=5 and d=123.
This code was found by Heurico 1.16 in 0.00219 seconds.