The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^4+128x^5+1600x^6+1920x^7+8742x^8+1920x^9+1600x^10+128x^11+172x^12+1x^16

The gray image is a code over GF(2) with n=64, k=14 and d=16.
This code was found by Heurico 1.16 in 2.61 seconds.