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

generates a code of length 75 over Z25 who´s minimum homogenous weight is 290.

Homogenous weight enumerator: w(x)=1x^0+988x^290+1560x^291+660x^292+1648x^295+1980x^296+740x^297+976x^300+1860x^301+400x^302+800x^305+1020x^306+420x^307+780x^310+660x^311+200x^312+412x^315+420x^316+80x^317+12x^320+8x^325

The gray image is a code over GF(5) with n=375, k=6 and d=290.
This code was found by Heurico 1.16 in 5.98 seconds.