The generator matrix

 1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  8  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+21x^4+42x^8+896x^10+42x^12+21x^16+1x^20

The gray image is a code over GF(2) with n=80, k=10 and d=16.
This code was found by Heurico 1.16 in 0.00103 seconds.