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

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

Homogenous weight enumerator: w(x)=1x^0+176x^100+248x^105+2500x^108+96x^110+48x^125+52x^130+4x^135

The gray image is a code over GF(5) with n=135, k=5 and d=100.
This code was found by Heurico 1.16 in 1.73 seconds.