The generator matrix

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

generates a code of length 32 over Z25 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+2360x^120+4824x^125+5180x^130+3240x^135+20x^150

The gray image is a code over GF(5) with n=160, k=6 and d=120.
This code was found by Heurico 1.16 in 35.2 seconds.