The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  0  0  1  1  1  1  1
 0  1  1  7 24 18  0 16  7 14 18  1 14  1  1 14 18  0  0  0
 0  0 15  0  0  5  0 15 15 15 10 20 15 10 20 10 20  5 15  0
 0  0  0  5  0 15 10 10  5  5  0 20 20 15 15 10 15  5  0  0
 0  0  0  0 15 20 20  5 20  0 10  5 20 20  5 15 15  5  0  0

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

Homogenous weight enumerator: w(x)=1x^0+108x^60+40x^64+504x^65+100x^68+640x^69+1424x^70+1000x^72+1200x^73+3840x^74+2700x^75+8000x^77+4800x^78+10240x^79+4380x^80+16000x^82+6400x^83+10240x^84+5772x^85+496x^90+216x^95+24x^100

The gray image is a code over GF(5) with n=100, k=7 and d=60.
This code was found by Heurico 1.16 in 2.36 seconds.