The generator matrix

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

generates a code of length 41 over Z25 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+240x^162+80x^163+100x^164+16x^165+160x^167+20x^168+4x^180+4x^185

The gray image is a code over GF(5) with n=205, k=4 and d=162.
This code was found by Heurico 1.16 in 1.95 seconds.