The generator matrix

 1  0  0  1  1  1 10  1
 0  1  0  1  6  7  1  0
 0  0  1  1  3  2  1  0
 0  0  0 12  0  0  4  8
 0  0  0  0  8  0  8  0
 0  0  0  0  0  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+99x^4+544x^5+3366x^6+12768x^7+31975x^8+12768x^9+3380x^10+544x^11+85x^12+6x^14

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 0.504 seconds.