The generator matrix

 1  0  0  0  1  1  1  1  1  1 10  1  1  1  5  1 20  1  1  1
 0  1  0  0 15 20 16 21 22  2  1  7 13 23  1  8  1 11 12 10
 0  0  1  0 16 22  8 24 15 18 18 17  6 19  7  3  7 21  4  0
 0  0  0  1  8 22 13  1 16 24  2  5  4 20 22 17 11  1  7 20

generates a code of length 20 over Z25 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+624x^65+980x^66+500x^67+340x^68+2400x^69+6104x^70+5980x^71+4180x^72+3880x^73+11200x^74+18456x^75+17380x^76+23960x^77+15220x^78+32400x^79+60624x^80+36380x^81+46040x^82+20560x^83+31500x^84+32164x^85+16780x^86+2820x^87+100x^90+20x^95+32x^100

The gray image is a code over GF(5) with n=100, k=8 and d=65.
This code was found by Heurico 1.16 in 52.1 seconds.