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.