The generator matrix

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

generates a code of length 8 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+60x^2+144x^3+340x^4+720x^5+1924x^6+11424x^7+36310x^8+11424x^9+1924x^10+720x^11+340x^12+144x^13+60x^14+1x^16

The gray image is a code over GF(2) with n=64, k=16 and d=8.
This code was found by Heurico 1.16 in 0.305 seconds.