The generator matrix

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

generates a code of length 80 over Z25 who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+880x^304+1884x^305+1220x^306+220x^307+2840x^309+5068x^310+3080x^311+380x^312+4140x^314+6916x^315+3420x^316+420x^317+4680x^319+7676x^320+3660x^321+860x^322+5020x^324+7220x^325+3200x^326+400x^327+3080x^329+5196x^330+2220x^331+220x^332+1660x^334+1600x^335+700x^336+200x^339+28x^340+8x^345+8x^350+4x^355+16x^360

The gray image is a code over GF(5) with n=400, k=7 and d=304.
This code was found by Heurico 1.16 in 526 seconds.