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  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  5
 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  5 15

generates a code of length 28 over Z25 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+12x^105+48x^110+500x^112+60x^115+4x^140

The gray image is a code over GF(5) with n=140, k=4 and d=105.
This code was found by Heurico 1.16 in -3.62e-008 seconds.