The generator matrix

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

generates a code of length 24 over Z25 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+328x^80+388x^85+500x^88+440x^90+4000x^93+492x^95+8000x^98+604x^100+492x^105+272x^110+100x^115+8x^120

The gray image is a code over GF(5) with n=120, k=6 and d=80.
This code was found by Heurico 1.16 in 69.6 seconds.