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  6  0
 0  0  0  2  2 12  6  2
 0  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+92x^4+640x^5+1152x^6+4480x^7+20038x^8+4480x^9+1152x^10+640x^11+92x^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 0.269 seconds.