The generator matrix

 1  0  1  1  1  4  2  2
 0  1  1  0  3  1 14  4
 0  0  2  0  2  4  2  2
 0  0  0  2  2  6  6  0
 0  0  0  0  8  0  0  8
 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+108x^4+896x^5+3904x^6+15488x^7+24742x^8+15488x^9+3904x^10+896x^11+108x^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 0.596 seconds.