The generator matrix

 1  1  1  1  1  1  1  1  2  1
 0 12  0  0  0  4 12  4  0  0
 0  0 12  0  4  4 12  0  0  0
 0  0  0 12  4  0 12  4  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

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

Homogenous weight enumerator: w(x)=1x^0+84x^4+56x^5+232x^6+280x^7+462x^8+688x^9+12792x^10+688x^11+420x^12+280x^13+280x^14+56x^15+57x^16+8x^18

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 0.0834 seconds.