The generator matrix

 1  1  1  1  1  1  1  1
 0  2  0  0  0  2 14  2
 0  0  2  0  2  2  2  0
 0  0  0  2  2  4  2  6
 0  0  0  0  4  4 12 12
 0  0  0  0  0  8  0  8

generates a code of length 8 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+268x^4+768x^5+4032x^6+5376x^7+44646x^8+5376x^9+4032x^10+768x^11+268x^12+1x^16

The gray image is a code over GF(2) with n=64, k=16 and d=16.
This code was found by Heurico 1.16 in 2.2 seconds.