The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  5  1
 0  1 16  7 14 18  5 21 12 19 23  1 10

generates a code of length 13 over Z25 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+200x^49+64x^50+300x^54+60x^55

The gray image is a code over GF(5) with n=65, k=4 and d=49.
This code was found by Heurico 1.16 in -1.01e-007 seconds.