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

generates a code of length 24 over Z25 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+304x^90+192x^95+2500x^96+24x^100+96x^115+8x^120

The gray image is a code over GF(5) with n=120, k=5 and d=90.
This code was found by Heurico 1.16 in 50.7 seconds.