The generator matrix

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

generates a code of length 75 over Z25 who´s minimum homogenous weight is 279.

Homogenous weight enumerator: w(x)=1x^0+1020x^279+768x^280+1880x^281+1340x^282+2200x^283+4200x^284+3852x^285+6960x^286+4720x^287+4800x^288+10420x^289+7112x^290+13280x^291+7280x^292+8560x^293+17020x^294+13056x^295+19860x^296+11140x^297+12100x^298+24400x^299+17372x^300+25800x^301+13580x^302+12980x^303+25680x^304+16924x^305+22960x^306+11280x^307+9860x^308+17300x^309+9728x^310+11920x^311+5040x^312+3940x^313+4580x^314+1736x^315+2340x^316+620x^317+560x^318+380x^319+32x^320+20x^325+16x^330+8x^335

The gray image is a code over GF(5) with n=375, k=8 and d=279.
This code was found by Heurico 1.16 in 301 seconds.