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

generates a code of length 81 over Z25 who´s minimum homogenous weight is 313.

Homogenous weight enumerator: w(x)=1x^0+340x^313+840x^314+1064x^315+1200x^316+200x^317+700x^318+1180x^319+1168x^320+700x^321+80x^322+460x^323+840x^324+916x^325+600x^326+120x^327+420x^328+740x^329+736x^330+500x^331+60x^332+280x^333+580x^334+520x^335+300x^336+300x^338+320x^339+220x^340+200x^341+40x^342

The gray image is a code over GF(5) with n=405, k=6 and d=313.
This code was found by Heurico 1.16 in 30.6 seconds.