The generator matrix

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

generates a code of length 21 over Z25 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+152x^75+680x^80+2124x^85+64x^90+24x^95+56x^100+24x^105

The gray image is a code over GF(5) with n=105, k=5 and d=75.
This code was found by Heurico 1.16 in 0.445 seconds.