The generator matrix

 1  0  1  1  1  1  1  1
 0  1  1  7 14 18  0  0
 0  0 15  0 15 10  0  5
 0  0  0  5 15  5 10 15

generates a code of length 8 over Z25 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+48x^20+352x^25+2500x^28+1128x^30+10000x^33+1488x^35+108x^40

The gray image is a code over GF(5) with n=40, k=6 and d=20.
This code was found by Heurico 1.16 in 0.0184 seconds.