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

generates a code of length 83 over Z25 who´s minimum homogenous weight is 310.

Homogenous weight enumerator: w(x)=1x^0+268x^310+388x^315+524x^320+1648x^325+5156x^330+6664x^335+212x^340+168x^345+144x^350+164x^355+92x^360+56x^365+48x^370+28x^375+40x^380+16x^385+4x^390+4x^400

The gray image is a code over GF(5) with n=415, k=6 and d=310.
This code was found by Heurico 1.16 in 4.09 seconds.