The generator matrix

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

generates a code of length 17 over Z25 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+68x^50+344x^55+912x^60+4560x^65+8700x^70+696x^75+276x^80+68x^85

The gray image is a code over GF(5) with n=85, k=6 and d=50.
This code was found by Heurico 1.16 in 0.175 seconds.