The generator matrix

 1  0  1  1  1  2 12  1
 0  1  1 12 11  2  1  0
 0  0  2  6  4  2  6  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+40x^5+160x^6+320x^7+1025x^8+296x^9+152x^10+48x^11+6x^12

The gray image is a code over GF(2) with n=64, k=11 and d=20.
This code was found by Heurico 1.16 in -4.77e-008 seconds.