The generator matrix

 1  0  1  1  1  0  2  1  1  2
 0  1 11 14  5  1  0  0  0  0
 0  0 12  4  0 12 12  0  0  0
 0  0  0  8  0  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  8
 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

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

Homogenous weight enumerator: w(x)=1x^0+69x^4+128x^5+400x^6+896x^7+3898x^8+13312x^9+28128x^10+13312x^11+3898x^12+896x^13+400x^14+128x^15+69x^16+1x^20

The gray image is a code over GF(2) with n=80, k=16 and d=16.
This code was found by Heurico 1.16 in 0.672 seconds.