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

generates a code of length 74 over Z25 who´s minimum homogenous weight is 290.

Homogenous weight enumerator: w(x)=1x^0+28x^290+380x^291+1100x^292+36x^295+420x^296+500x^297+44x^300+60x^301+120x^302+100x^306+260x^307+40x^311+20x^312+12x^315+4x^320

The gray image is a code over GF(5) with n=370, k=5 and d=290.
This code was found by Heurico 1.16 in 0.0741 seconds.