The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  5  5  1  1  5  5  5  5
 0  5  0  0  5  5  0  5 10 20 15 20  0 10 20 20  5 10 10  5 15 15  5 15 20  0  0  5 10 10 20 10 10 20  0  5 20  0 15 15 10  0 15 20 10 15  5  0 15  5 10  5 10 15 20 15 15 20 15 20 20  5  5  0  5 15 20  5  5  0  0  5 10 15 20
 0  0  5  0 15 10  5 20  0  5  5  5 15 10  0 10 15  5 10 20  0 15 10 15 10 20 20  5 20 20  0  5  5 15 15 10  0  5 10 10  5  0  0  5 10 10  0 15 15 15  0 20 20 20 20  5 20 15 15 20 15 15  0 10 20 10  5  0 20  0 20 10  5  0  0
 0  0  0  5 15  5 20 15 15 15  0  5  5  0 15  5 10 10 15  0 20  5 15 15  0 20  0  5 15 20 20 20  5 20 20  0  5 15 10  5  0 15  0 10 10  0  5 15 20  0 20 10  0 10 10  5  5 10 10  0 15 20 15  5 20 15 20 15  5 20  5 15 10  0 10

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

Homogenous weight enumerator: w(x)=1x^0+200x^290+300x^291+144x^295+500x^296+88x^300+1100x^301+80x^305+600x^306+16x^310+32x^315+20x^320+8x^325+16x^330+4x^340+12x^345+4x^350

The gray image is a code over GF(5) with n=375, k=5 and d=290.
This code was found by Heurico 1.16 in 0.109 seconds.