The generator matrix

 1  0  1  1  1 12  2  2
 0  1  1 12 11  1  4  0
 0  0  2  6  4  6  2  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+132x^4+224x^5+2592x^6+5920x^7+15030x^8+5920x^9+2592x^10+224x^11+132x^12+1x^16

The gray image is a code over GF(2) with n=64, k=15 and d=16.
This code was found by Heurico 1.16 in 0.187 seconds.