The generator matrix

 1  0  1  1  1  1  1  5  1  1  1  1  1  1 10  1  1  1  1 20  1  1  1  1 15  1  1  1  1  1
 0  1 16  7  5 21 12  1 14 19 10 11 17  9  1 20  6  2  4  1 15  1 22 24  1 18 23  3 13  8

generates a code of length 30 over Z25 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+600x^120+24x^125

The gray image is a code over GF(5) with n=150, k=4 and d=120.
This code was found by Heurico 1.16 in 0 seconds.