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  1  0  0  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  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 17  1  5 23  6 19  0
 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 15 15 20  5  5  5  5

generates a code of length 80 over Z25 who´s minimum homogenous weight is 314.

Homogenous weight enumerator: w(x)=1x^0+680x^314+224x^315+1240x^319+252x^320+200x^324+60x^325+160x^329+40x^330+220x^334+44x^335+4x^340

The gray image is a code over GF(5) with n=400, k=5 and d=314.
This code was found by Heurico 1.16 in 0.0934 seconds.