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

generates a code of length 71 over Z25 who´s minimum homogenous weight is 279.

Homogenous weight enumerator: w(x)=1x^0+980x^279+312x^280+860x^284+200x^285+440x^289+20x^290+120x^294+80x^295+100x^299+4x^300+4x^305+4x^330

The gray image is a code over GF(5) with n=355, k=5 and d=279.
This code was found by Heurico 1.16 in 0.0653 seconds.