The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+284x^310+1340x^311+1320x^312+780x^313+2060x^314+4292x^315+4520x^316+5200x^317+3380x^318+4820x^319+9312x^320+10140x^321+9720x^322+6060x^323+7940x^324+15096x^325+16220x^326+14780x^327+8320x^328+12160x^329+21696x^330+21360x^331+18720x^332+11760x^333+13840x^334+22692x^335+21020x^336+19640x^337+11320x^338+12560x^339+17956x^340+15840x^341+11800x^342+4760x^343+5680x^344+7860x^345+6020x^346+3420x^347+1120x^348+940x^349+1380x^350+1040x^351+400x^352+20x^355+20x^360+8x^365+4x^370+4x^375

The gray image is a code over GF(5) with n=415, k=8 and d=310.
This code was found by Heurico 1.16 in 303 seconds.