The generator matrix

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

generates a code of length 14 over Z25 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+48x^45+224x^50+500x^52+80x^55+2000x^57+120x^60+120x^65+32x^70

The gray image is a code over GF(5) with n=70, k=5 and d=45.
This code was found by Heurico 1.16 in 0.00701 seconds.