The generator matrix

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

generates a code of length 15 over Z25 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+208x^45+416x^50+500x^52+480x^55+4000x^57+680x^60+8000x^62+820x^65+432x^70+88x^75

The gray image is a code over GF(5) with n=75, k=6 and d=45.
This code was found by Heurico 1.16 in 0.15 seconds.