The generator matrix

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

generates a code of length 27 over Z25 who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+240x^107+300x^108+12x^110+60x^112+12x^115

The gray image is a code over GF(5) with n=135, k=4 and d=107.
This code was found by Heurico 1.16 in 3.24e-008 seconds.