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

generates a code of length 82 over Z25 who´s minimum homogenous weight is 316.

Homogenous weight enumerator: w(x)=1x^0+140x^316+252x^320+460x^321+116x^325+580x^326+176x^330+900x^331+420x^336+36x^345+8x^350+8x^355+12x^370+16x^380

The gray image is a code over GF(5) with n=410, k=5 and d=316.
This code was found by Heurico 1.16 in 65.5 seconds.