The generator matrix

 1  0  1  1  1  1  1  1  1  5  1  1  1  1 10  1  1  1  1 20
 0  1 16  7 14  5 21 12 19  1 10 11 17  9  1 20  6  2  4  1

generates a code of length 20 over Z25 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+400x^79+120x^80+100x^84+4x^100

The gray image is a code over GF(5) with n=100, k=4 and d=79.
This code was found by Heurico 1.16 in 1.01e-007 seconds.