The generator matrix

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

generates a code of length 25 over Z27 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+120x^46+144x^47+190x^48+84x^49+1044x^50+372x^51+36x^52+72x^53+60x^55+36x^56+2x^57+24x^58+2x^72

The gray image is a code over GF(3) with n=225, k=7 and d=138.
This code was found by Heurico 1.16 in 0.7 seconds.