The generator matrix

 1  1  1  1  2  0  2  1
 0  2  0  2  2  2  4  0
 0  0  2  2  6 12  2  0
 0  0  0  8  0  0  8  0
 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+39x^4+288x^5+342x^6+2016x^7+2815x^8+2016x^9+356x^10+288x^11+25x^12+6x^14

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 0.0179 seconds.