The generator matrix

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

generates a code of length 19 over Z25 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+228x^60+400x^65+456x^70+524x^75+12500x^76+720x^80+552x^85+220x^90+24x^95

The gray image is a code over GF(5) with n=95, k=6 and d=60.
This code was found by Heurico 1.16 in 0.212 seconds.