The generator matrix

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

generates a code of length 25 over Z25 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+60x^80+20x^81+40x^84+404x^85+160x^86+200x^88+640x^89+1136x^90+1160x^91+2400x^93+3840x^94+2880x^95+2860x^96+9600x^98+10240x^99+5736x^100+5060x^101+12800x^103+10240x^104+4620x^105+3240x^106+436x^110+284x^115+60x^120+8x^125

The gray image is a code over GF(5) with n=125, k=7 and d=80.
This code was found by Heurico 1.16 in 3.36 seconds.