The generator matrix

 1  0  0  0  1  1  1  1
 0  1  0  0 16 22  5 21
 0  0  1  0  8 22 16 13
 0  0  0  1  8 14 19 22

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

Homogenous weight enumerator: w(x)=1x^0+616x^20+620x^21+3900x^24+5860x^25+3540x^26+29500x^28+31200x^29+24396x^30+9060x^31+60000x^32+118000x^33+62400x^34+32156x^35+9280x^36+96x^40

The gray image is a code over GF(5) with n=40, k=8 and d=20.
This code was found by Heurico 1.16 in 8.55 seconds.