The generator matrix

 1  1  1  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 18  3 15 21 24 12  6  3  3

generates a code of length 24 over Z27 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+108x^47+72x^48+54x^50+8x^54

The gray image is a code over GF(3) with n=216, k=5 and d=141.
This code was found by Heurico 1.16 in 0.00242 seconds.