The generator matrix

 1  1  1  1  2  2  2  1
 0  2  0  2  4  8  2  0
 0  0  2  2  2  6  2  0
 0  0  0  4  0  4  8  0
 0  0  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+26x^4+166x^5+477x^6+1752x^7+3341x^8+1764x^9+482x^10+152x^11+24x^12+6x^13+1x^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 0.0195 seconds.