The generator matrix

 1  0  1  1  1  0  2  2  1  1
 0  1 11  6  5  1  0  8  0  0
 0  0 12  0  4  0  4  4  0  0
 0  0  0 12  4 12  4  0  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+77x^4+160x^5+496x^6+928x^7+1906x^8+6080x^9+13472x^10+6080x^11+1906x^12+928x^13+496x^14+160x^15+77x^16+1x^20

The gray image is a code over GF(2) with n=80, k=15 and d=16.
This code was found by Heurico 1.16 in 0.154 seconds.