The generator matrix

 1  1  1  1  2  0  2  2
 0  2  0  2  2  2  4  0
 0  0  2  2  6 12  2  0
 0  0  0  8  0  0  0  8
 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+84x^4+416x^5+608x^6+4704x^7+4758x^8+4704x^9+608x^10+416x^11+84x^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 0.071 seconds.