The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8 12 13 11  6 10  5 18  3 25 15

generates a code of length 25 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+62x^48+180x^49+270x^50+120x^51+90x^52+2x^54+2x^57+2x^66

The gray image is a code over GF(3) with n=225, k=6 and d=144.
This code was found by Heurico 1.16 in 0.00235 seconds.