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

generates a code of length 80 over Z25 who´s minimum homogenous weight is 310.

Homogenous weight enumerator: w(x)=1x^0+904x^310+1720x^311+960x^312+160x^313+1340x^315+1520x^316+960x^317+140x^318+1068x^320+1180x^321+740x^322+80x^323+760x^325+1040x^326+360x^327+80x^328+720x^330+500x^331+320x^332+40x^333+320x^335+540x^336+160x^337+8x^340+4x^345

The gray image is a code over GF(5) with n=400, k=6 and d=310.
This code was found by Heurico 1.16 in 28.4 seconds.