The generator matrix

 1  1  1  1
 0  5  0  5
 0  0  5 15

generates a code of length 4 over Z25 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+24x^10+48x^15+500x^16+52x^20

The gray image is a code over GF(5) with n=20, k=4 and d=10.
This code was found by Heurico 1.16 in -3.62e-008 seconds.