The generator matrix

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

generates a code of length 14 over Z25 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+120x^40+388x^45+444x^50+2500x^52+680x^55+10000x^57+900x^60+460x^65+132x^70

The gray image is a code over GF(5) with n=70, k=6 and d=40.
This code was found by Heurico 1.16 in 0.123 seconds.