The generator matrix

 1  0  1  1  1  0  1  1  1  1
 0  1  3  6  5  1  0  0  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  0  0

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

Homogenous weight enumerator: w(x)=1x^0+29x^4+96x^5+24x^6+192x^7+322x^8+1248x^9+4368x^10+1248x^11+322x^12+192x^13+24x^14+96x^15+29x^16+1x^20

The gray image is a code over GF(2) with n=80, k=13 and d=16.
This code was found by Heurico 1.16 in 0.00964 seconds.