The generator matrix

 1  1  1  1  2  0  2  2  1  1
 0  2  0  2  2  2  4  0  0  0
 0  0  2  2  6 12  2  0  0  0
 0  0  0  8  0  0  0  8  0  0
 0  0  0  0  8  0  0  8  0  0
 0  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  8  8  0  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+45x^4+192x^5+104x^6+608x^7+626x^8+4320x^9+4592x^10+4320x^11+626x^12+608x^13+104x^14+192x^15+45x^16+1x^20

The gray image is a code over GF(2) with n=80, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0537 seconds.