The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  0  1  1  1
 0  1  1  7 24 18  0 16  7 14  0 16  1 14  7  0
 0  0 15  0  0  5  0 15 15 15  5 10 15 10  0  0
 0  0  0  5  0 15 10 10  5  5  5 10  0 15 20  0
 0  0  0  0 15 20 20  5 20  0 20 20 15  5  0  5

generates a code of length 16 over Z25 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+48x^45+20x^48+252x^50+300x^52+320x^53+408x^55+500x^56+3600x^57+1920x^58+2980x^60+4000x^61+14400x^62+5120x^63+10820x^65+8000x^66+19200x^67+5120x^68+672x^70+372x^75+72x^80

The gray image is a code over GF(5) with n=80, k=7 and d=45.
This code was found by Heurico 1.16 in 1.57 seconds.