The generator matrix

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

generates a code of length 20 over Z25 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+84x^60+272x^65+384x^70+460x^75+13020x^80+676x^85+488x^90+216x^95+24x^100

The gray image is a code over GF(5) with n=100, k=6 and d=60.
This code was found by Heurico 1.16 in 0.214 seconds.