The generator matrix

 1  0  1  1
 0  1 16  7

generates a code of length 4 over Z25 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+80x^12+16x^15+200x^16+320x^17+8x^20

The gray image is a code over GF(5) with n=20, k=4 and d=12.
This code was found by Heurico 1.16 in 1.01e-007 seconds.