The generator matrix

 1  0  1
 0  1 16

generates a code of length 3 over Z25 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+60x^8+12x^10+300x^12+240x^13+12x^15

The gray image is a code over GF(5) with n=15, k=4 and d=8.
This code was found by Heurico 1.16 in 6.87e-008 seconds.