The generator matrix

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

generates a code of length 44 over Z25 who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+496x^175+120x^180+8x^200

The gray image is a code over GF(5) with n=220, k=4 and d=175.
This code was found by Heurico 1.16 in 2.03 seconds.