The generator matrix

 1  1  1  1  1  1  1  1
 0  2  0  0  4 14 10  2
 0  0  2  0  6 14 14  0
 0  0  0  2  2 12 14  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

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

Homogenous weight enumerator: w(x)=1x^0+204x^4+1280x^5+2240x^6+8960x^7+40166x^8+8960x^9+2240x^10+1280x^11+204x^12+1x^16

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 0.832 seconds.