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

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

Homogenous weight enumerator: w(x)=1x^0+260x^120+500x^124+104x^125+2000x^129+160x^130+40x^145+20x^150+40x^155

The gray image is a code over GF(5) with n=160, k=5 and d=120.
This code was found by Heurico 1.16 in 2.81 seconds.