The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  5  1 15 10  1  1  1  1  1  1  1  1  1  1  1 20  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1 10  1  1  1  1  1  1  1  1  1  1  1 10  0  1  1
 0  1  0 15 10  5  1 22  8 16 11 21 14  7  1 12  1  1 18 11  9  3  4 17 13  0 24  2 13  1  6 23 17 10 12  8 24 14  9 10 15 20 22  3 16  1  1 18 15  7  2 20  4 16 24 17 23  1  5 14  9  2 21 24 18  3  4  0  2  0  1  1  8  5
 0  0  1 16  7 24  4 14 19 22  8  5 12 17 23 15  2  9 23  6 20 10 21 18 11  3  4  6  7 16 17 21 19 12 16  2 10  9  8 11  9 15 23 20 18  5  9  9  2 19  0  3 12 24  3 23 18  8  1  2  5 20 17 18  2  7  5 10  1 13  4 11  1  7

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

Homogenous weight enumerator: w(x)=1x^0+1000x^286+1800x^287+280x^288+120x^289+48x^290+1580x^291+2000x^292+600x^293+180x^294+40x^295+1280x^296+1300x^297+220x^298+120x^299+1000x^301+1140x^302+240x^303+40x^304+4x^305+840x^306+820x^307+160x^308+40x^309+12x^310+300x^311+440x^312+12x^315+8x^320

The gray image is a code over GF(5) with n=370, k=6 and d=286.
This code was found by Heurico 1.16 in 406 seconds.