The generator matrix

 1  0  0  1  1  1  1  1  1  1 15  0  1 10  1  1  1  1 20  1
 0  1  0  1  7 24 15  1 16  8  1  1 24  1  8  7 18 21  1 12
 0  0  1 18  7  1 14 24 15 14 14 18 16  5 16 15  3  8 22  8
 0  0  0 15 20  0  5 20 10 15 15 20 20  5  5  5 10 10  0  0

generates a code of length 20 over Z25 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+180x^66+220x^68+400x^69+1108x^70+1600x^71+200x^72+2640x^73+1800x^74+2228x^75+4120x^76+1600x^77+10560x^78+5200x^79+5548x^80+10240x^81+3200x^82+14080x^83+5100x^84+4108x^85+3860x^86+48x^90+80x^95+4x^100

The gray image is a code over GF(5) with n=100, k=7 and d=66.
This code was found by Heurico 1.16 in 2.23 seconds.