The generator matrix

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

generates a code of length 10 over Z25 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+44x^35+548x^40+12x^45+20x^50

The gray image is a code over GF(5) with n=50, k=4 and d=35.
This code was found by Heurico 1.16 in -3.24e-008 seconds.