The generator matrix

 1  0  1  1  1  0  1  1
 0  1  3  6  5  1  0  0
 0  0  8  0  0  0  0  8
 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+36x^4+96x^5+288x^6+1440x^7+4470x^8+1440x^9+288x^10+96x^11+36x^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 0.0128 seconds.