The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  5  1  1  1  1  1  5  1  1  1  1  1  0  1  1 15  1  1 15  1  1  1  1 10  1  1  1  1  1  1  1  1  1  1  1  1 10  1  1  1  1  1 10  1  1  1  1 15  1  1  1  1  1  1  1  1  1  1  1  1  1 10  1  1  1
 0  1  1  7 14 18  0 16  7  1 14 18  5 12 19 16 23  1 12  5 11 19 23  1 11 22  4  0 18  1 15  8  1 15  8  1 21 21  7 22  1 14  4  6  8  5 17 24  6 10 17 19 23  1 15  6 17  4  3  1 10 21 24  3  1 24 20 20 24  0 19 20  4 22 14 20 12 16  1  3 13  0
 0  0 15 10  5  0 20 10  5 10 15 20 10 15 20 20  5  5  0 15  5  0 10 15  0 20 10  5 15 20  0 20 10 10 10  5  0  5 20 15  0 10  0 15  5  5 10 15 20 20  0  5 15 15 15 10  5 20  0 20  5 15  5 15 15  0  0 15 20 10 10 20 15  0  0 10 10  0  5 10 20  0

generates a code of length 82 over Z25 who´s minimum homogenous weight is 320.

Homogenous weight enumerator: w(x)=1x^0+152x^320+60x^321+220x^324+1192x^325+320x^326+240x^329+364x^330+20x^331+168x^335+60x^336+212x^340+40x^341+40x^344+24x^345+12x^350

The gray image is a code over GF(5) with n=410, k=5 and d=320.
This code was found by Heurico 1.16 in 0.101 seconds.