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

generates a code of length 84 over Z25 who´s minimum homogenous weight is 314.

Homogenous weight enumerator: w(x)=1x^0+580x^314+1096x^315+1060x^316+1020x^317+2360x^318+4100x^319+5480x^320+4720x^321+3240x^322+6000x^323+7760x^324+10344x^325+8780x^326+5980x^327+9700x^328+15860x^329+16036x^330+12400x^331+9300x^332+14160x^333+20680x^334+21272x^335+15740x^336+10360x^337+17100x^338+22460x^339+22964x^340+15300x^341+10960x^342+15580x^343+17100x^344+16452x^345+10760x^346+5460x^347+6380x^348+7500x^349+6148x^350+3420x^351+1040x^352+1220x^353+1460x^354+780x^355+320x^356+140x^357+24x^360+16x^365+4x^370+8x^375

The gray image is a code over GF(5) with n=420, k=8 and d=314.
This code was found by Heurico 1.16 in 336 seconds.