The generator matrix

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

generates a code of length 8 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+28x^4+966x^8+28x^12+1x^16

The gray image is a code over GF(2) with n=64, k=10 and d=16.
This code was found by Heurico 1.16 in 0.000856 seconds.