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

generates a code of length 74 over Z25 who´s minimum homogenous weight is 286.

Homogenous weight enumerator: w(x)=1x^0+200x^286+336x^290+400x^291+184x^295+1100x^296+24x^300+800x^301+40x^315+8x^320+24x^340+8x^345

The gray image is a code over GF(5) with n=370, k=5 and d=286.
This code was found by Heurico 1.16 in 63.1 seconds.