The generator matrix

 1  0  0  1  1  1  2  2
 0  1  0  2  5  7  1  0
 0  0  1  1  3  2  1  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+672x^5+4448x^6+11616x^7+31894x^8+11616x^9+4448x^10+672x^11+84x^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 0.489 seconds.