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  5  1  1  1  1  0  1  1  1  1  0
 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  7 18 15 22  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 16 20 16  1 12 14  3 20  5  3  6  4  7  1
 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  0  5 20  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 15 20 20 10 10  0 10 10 20  0 10 20 15 20

generates a code of length 79 over Z25 who´s minimum homogenous weight is 310.

Homogenous weight enumerator: w(x)=1x^0+840x^310+1504x^315+324x^320+168x^325+284x^330+4x^335

The gray image is a code over GF(5) with n=395, k=5 and d=310.
This code was found by Heurico 1.16 in 0.0898 seconds.