The generator matrix

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

generates a code of length 27 over Z25 who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+24x^100+500x^108+96x^110+4x^135

The gray image is a code over GF(5) with n=135, k=4 and d=100.
This code was found by Heurico 1.16 in 3.24e-008 seconds.