The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  5  1  1  1  1  5  1  1  1  1  1 10
 0  1  1  7 14 18  0 16  5  5  7 14 18  1 16 12 19 23  1 11 12 19 23  1 15 11 22  4  8  1
 0  0 15 10  5  0 20 10  5 15 20 10 10  5 20  5  0 15 10  5  0 15 20 20 10  0 15 20  5  0

generates a code of length 30 over Z25 who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+1200x^115+700x^120+1224x^125

The gray image is a code over GF(5) with n=150, k=5 and d=115.
This code was found by Heurico 1.16 in 25.5 seconds.