The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  5  1  1  1  1  5  1  1 15  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 10 10  1  1  1 20  1  1  1  1  1 20  1  1  1  1 20  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16  7  1 14 18  5 12 19  5 16 23  1 21 12 19 23  1  1  4  1  0  7 18 15 22  8 15 22  8  5 17 21  6  8  9  4  1  1 10  6 19  1 21  1 12  9 23  1 15 22  9  3  1 10 17  4  5 12 10 17 14 19  0  7 14 10
 0  0 15 10  5  0 20 10  5 10 15 20 10 15 20  5  0 15 20  5 20  0 10 15 20 10  5 15  0  5 20  5  0  5 20 10  0 10 10 15 15  0  5  0 10 15 20 10  5  0  5  0 15 20 20 10 15 20  5 15  0  0 15 15 10 20  5 20  5 10 20 10  5

generates a code of length 73 over Z25 who´s minimum homogenous weight is 286.

Homogenous weight enumerator: w(x)=1x^0+240x^286+820x^287+68x^290+520x^291+700x^292+40x^295+120x^296+180x^297+4x^300+40x^301+260x^302+80x^306+40x^307+12x^315

The gray image is a code over GF(5) with n=365, k=5 and d=286.
This code was found by Heurico 1.16 in 72.9 seconds.