The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1
 0  5  0  5 10 10  0  5 10 20 20 10  0
 0  0  5 15 10 15 10  5  5 15  0 20  0

generates a code of length 13 over Z25 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+24x^45+56x^50+500x^52+20x^55+8x^60+16x^65

The gray image is a code over GF(5) with n=65, k=4 and d=45.
This code was found by Heurico 1.16 in 1.01e-007 seconds.