The generator matrix

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

generates a code of length 13 over Z25 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+56x^35+336x^40+440x^45+2500x^48+624x^50+10000x^53+960x^55+544x^60+164x^65

The gray image is a code over GF(5) with n=65, k=6 and d=35.
This code was found by Heurico 1.16 in 0.1 seconds.