The generator matrix

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

generates a code of length 40 over Z25 who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+300x^158+116x^160+200x^163+4x^175+4x^185

The gray image is a code over GF(5) with n=200, k=4 and d=158.
This code was found by Heurico 1.16 in 1.86 seconds.