The generator matrix

 1  0  1  1  1  8  0  1
 0  1  1 12 11  1  1  0
 0  0  2  6  4  4  0  0
 0  0  0  8  0  8  8  0
 0  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^4+172x^5+448x^6+1300x^7+4298x^8+1300x^9+448x^10+172x^11+26x^12+1x^16

The gray image is a code over GF(2) with n=64, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0144 seconds.