The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  5  0  5 10 10  0  5 10 20 20 10 20  0  5 20  0  5 10 20 15 15 15 15 15  0  0  5  5 10 20
 0  0  5 15 10 15 10  5  5 15  0 20 20 20 10  5 15 20  0 10  0  5 10 20 15  0  5 15 20 20  0

generates a code of length 31 over Z25 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+60x^120+500x^124+24x^125+36x^130+4x^155

The gray image is a code over GF(5) with n=155, k=4 and d=120.
This code was found by Heurico 1.16 in -1.01e-007 seconds.