The generator matrix

 1  0  1  1  1 12  2  2  1  1
 0  1  1  0 11  1  4  8  0  0
 0  0  2  6  0  2  2  0  0  0
 0  0  0 12  4 12  0  4  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+125x^4+192x^5+1248x^6+1408x^7+4994x^8+11712x^9+26176x^10+11712x^11+4994x^12+1408x^13+1248x^14+192x^15+125x^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 0.56 seconds.