The generator matrix

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

generates a code of length 74 over Z25 who´s minimum homogenous weight is 280.

Homogenous weight enumerator: w(x)=1x^0+792x^280+1440x^281+840x^282+480x^283+300x^284+2912x^285+4280x^286+2260x^287+1480x^288+380x^289+4704x^290+6200x^291+2460x^292+1460x^293+640x^294+6048x^295+6080x^296+2560x^297+1740x^298+500x^299+5716x^300+6260x^301+2260x^302+1820x^303+560x^304+4180x^305+4400x^306+1620x^307+520x^308+120x^309+1192x^310+1340x^311+500x^312+24x^315+20x^320+16x^325+16x^330+4x^335

The gray image is a code over GF(5) with n=370, k=7 and d=280.
This code was found by Heurico 1.16 in 12 seconds.