The generator matrix

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

generates a code of length 7 over Z25 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+20x^20+44x^25+500x^28+20x^30+40x^35

The gray image is a code over GF(5) with n=35, k=4 and d=20.
This code was found by Heurico 1.16 in -3.62e-008 seconds.