The generator matrix

 1  0  1  1  1  1  1
 0  1 16  7 14 18  5

generates a code of length 7 over Z25 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+100x^24+44x^25+400x^29+80x^30

The gray image is a code over GF(5) with n=35, k=4 and d=24.
This code was found by Heurico 1.16 in 3.24e-008 seconds.