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

generates a code of length 79 over Z25 who´s minimum homogenous weight is 305.

Homogenous weight enumerator: w(x)=1x^0+444x^305+720x^306+980x^307+800x^308+220x^309+1080x^310+1060x^311+1360x^312+600x^313+100x^314+956x^315+880x^316+820x^317+400x^318+40x^319+692x^320+500x^321+600x^322+360x^323+60x^324+708x^325+520x^326+400x^327+180x^328+60x^329+240x^330+320x^331+340x^332+160x^333+20x^334+4x^350

The gray image is a code over GF(5) with n=395, k=6 and d=305.
This code was found by Heurico 1.16 in 408 seconds.