The generator matrix

 1  0  1  1  1 12  1  1  1  1
 0  1  1  0 11  1  8 15  9  6
 0  0  2  6  0  2  0  6 10  0
 0  0  0 12  0  0  4  4  4  8
 0  0  0  0 12 12  0  4  8  8
 0  0  0  0  0  8  8  8  8  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+48x^5+216x^6+756x^7+3722x^8+14548x^9+26928x^10+14568x^11+3752x^12+760x^13+184x^14+36x^15+13x^16+4x^17

The gray image is a code over GF(2) with n=80, k=16 and d=20.
This code was found by Heurico 1.16 in 79.1 seconds.