The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14  0 16  7  5 16 12 11  5 12
 0  0 15 10  5  5 10 20 15 20  0  5 20 15

generates a code of length 14 over Z25 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+392x^50+200x^52+532x^55+500x^56+800x^57+676x^60+20x^65+4x^70

The gray image is a code over GF(5) with n=70, k=5 and d=50.
This code was found by Heurico 1.16 in 0.0194 seconds.