The generator matrix

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

generates a code of length 22 over Z25 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+272x^80+1024x^85+1720x^90+4x^100+88x^105+16x^110

The gray image is a code over GF(5) with n=110, k=5 and d=80.
This code was found by Heurico 1.16 in 33.6 seconds.