The generator matrix

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

generates a code of length 55 over Z25 who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+292x^200+160x^201+20x^202+240x^203+848x^205+1380x^206+520x^207+1280x^208+1600x^210+2660x^211+1220x^212+3580x^213+2840x^215+5060x^216+3520x^217+7180x^218+4008x^220+7660x^221+4620x^222+8580x^223+3888x^225+6000x^226+2600x^227+4140x^228+1484x^230+2080x^231+188x^235+216x^240+132x^245+64x^250+48x^255+12x^260+4x^265

The gray image is a code over GF(5) with n=275, k=7 and d=200.
This code was found by Heurico 1.16 in 10.6 seconds.