The generator matrix

 1  1  1  1  1  1  1
 0  8  0  0  0  0  0
 0  0  8  0  0  0  0
 0  0  0  8  0  0  0
 0  0  0  0  8  0  0
 0  0  0  0  0  8  0
 0  0  0  0  0  0  8

generates a code of length 7 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+7x^2+21x^4+35x^6+896x^7+35x^8+21x^10+7x^12+1x^14

The gray image is a code over GF(2) with n=56, k=10 and d=8.
This code was found by Heurico 1.16 in 0.000321 seconds.