The generator matrix

 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  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  5  1  1  1  1  1  1
 0  5  0  0  5  5  0  5 10 20 15 20  0 10 20 20  5 10 10  5 15 15  5 15 20  0  0  5 10 10 20 10 10 20  0  5 20  0 15 15 10  0 15 20 10 15  5  0 15  5 10  5 10 15 20 20 15 20  0 20 15 15 15 20  5 10 15  5  5  5  0  0  0  5  0  0  0 15  5  5
 0  0  5  0 15 10  5 20  0  5  5  5 15 10  0 10 15  5 10 20  0 15 10 15 10 20 20  5 20 20  0  5  5 15 15 10  0  5 10 10  5  0  0  5 10 10  0 15 15 15  0 20 20 20 20 15 20 15 10 20  5 20 10  5 20  0  5  0 10 20 10 15 10 20 20  5 15 10  5 15
 0  0  0  5 15  5 20 15 15 15  0  5  5  0 15  5 10 10 15  0 20  5 15 15  0 20  0  5 15 20 20 20  5 20 20  0  5 15 10  5  0 15  0 10 10  0  5 15 20  0 20 10  0 10 10 15  5 10  5  0  5 15 15 20 20  5 20 15 10  5 15 10 10  5  5 10  0 20 15  0

generates a code of length 80 over Z25 who´s minimum homogenous weight is 310.

Homogenous weight enumerator: w(x)=1x^0+188x^310+152x^315+500x^316+104x^320+2000x^321+52x^325+36x^330+28x^335+24x^340+8x^345+8x^350+20x^355+4x^395

The gray image is a code over GF(5) with n=400, k=5 and d=310.
This code was found by Heurico 1.16 in 0.134 seconds.