The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  0  3  3  9  1  3  3
 0  3 24  9 21  6 18 12 15  0 21 24  9 12  6 21 24 18  3 12  6  3  3  3 15

generates a code of length 25 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+60x^49+144x^50+2x^51+30x^52+4x^57+2x^60

The gray image is a code over GF(3) with n=225, k=5 and d=147.
This code was found by Heurico 1.16 in 0.00277 seconds.