The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  5  1 15 10  1  1  1  1  1  1  1  1  1  1  1 20  1  1  1  1  1  1  1  1  1  1  1  1  1 15  1  1  1  1  5  1  1  1  1  1  0  1 20  1  1  1  1  1  1  1  1  1 10  1  1  1  1  1  1  1 15  5  1  1  1  1  1  1
 0  1  0 15 10  5  1 22  8 16 11 21 14  7  1 12  1  1 18 11  9  3  4 17 13  0 24  2 13  1  6 23 17 10 12  8 24 14  2 16  1 19  5  1 11 18  4 10  1 15  2 16 17 15 20 24  1 24  0 21 19 23  1 14 18 21  1  9  2  9 12 21 22 22  1  1 13 11  8 23  5  1
 0  0  1 16  7 24  4 14 19 22  8  5 12 17 23 15  2  9 23  6 20 10 21 18 11  3  4  6  7 16 17 21 19 12 16  2 13  9  2 23 10  2  1 11  9 24  0 18  8 24  5 11 13  0  1  3 10 16  7 19 21  8  6 10 21 22 20 15 10  9 13 24 22  5 24 12  6 12  4  7  9 11

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

Homogenous weight enumerator: w(x)=1x^0+360x^316+260x^317+240x^318+720x^319+816x^320+1800x^321+840x^322+440x^323+720x^324+656x^325+1480x^326+380x^327+320x^328+620x^329+344x^330+840x^331+440x^332+200x^333+460x^334+392x^335+720x^336+320x^337+180x^338+340x^339+340x^340+560x^341+260x^342+120x^343+140x^344+72x^345+240x^346+4x^350

The gray image is a code over GF(5) with n=410, k=6 and d=316.
This code was found by Heurico 1.16 in 0.543 seconds.