The generator matrix

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

generates a code of length 20 over Z25 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+124x^70+168x^75+500x^76+124x^80+2000x^81+64x^85+84x^90+40x^95+20x^100

The gray image is a code over GF(5) with n=100, k=5 and d=70.
This code was found by Heurico 1.16 in 0.0115 seconds.