The generator matrix

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

generates a code of length 56 over Z25 who´s minimum homogenous weight is 208.

Homogenous weight enumerator: w(x)=1x^0+440x^208+580x^209+500x^210+200x^211+700x^212+3520x^213+2800x^214+1504x^215+380x^216+1820x^217+5560x^218+5240x^219+2556x^220+540x^221+2400x^222+7080x^223+6680x^224+2372x^225+700x^226+3080x^227+7800x^228+6820x^229+2608x^230+460x^231+1860x^232+4680x^233+2880x^234+996x^235+220x^236+140x^237+920x^238+36x^240+24x^245+8x^250+12x^255+4x^260+4x^275

The gray image is a code over GF(5) with n=280, k=7 and d=208.
This code was found by Heurico 1.16 in 8.51 seconds.