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  5  1  1  1  1 10  1  1 10  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 11  1 14  3  8 21 20 19 13  1 15  0
 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 22 10 14 11 14 18  1  7 20 17 22 23

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

Homogenous weight enumerator: w(x)=1x^0+860x^286+1840x^287+380x^288+160x^289+44x^290+1700x^291+1920x^292+400x^293+140x^294+44x^295+1460x^296+1380x^297+320x^298+80x^299+1040x^301+920x^302+240x^303+80x^304+4x^305+440x^306+1140x^307+160x^308+40x^309+12x^310+500x^311+300x^312+16x^315+4x^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 5.72 seconds.