The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  5  1  1  1  1
 0  1 16  7 14 18  5 21 12 19 23  1 10 11 17  9

generates a code of length 16 over Z25 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+80x^61+240x^62+16x^65+120x^66+160x^67+8x^70

The gray image is a code over GF(5) with n=80, k=4 and d=61.
This code was found by Heurico 1.16 in 0 seconds.