The generator matrix

 1  1  1  1  1  1  1  1
 0 12  0  0  0  4  0  0
 0  0 12  0  0  4  0  0
 0  0  0 12  0  4  0  0
 0  0  0  0 12  4  0  0
 0  0  0  0  0  8  0  0
 0  0  0  0  0  0  8  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+46x^2+296x^4+946x^6+13806x^8+946x^10+296x^12+46x^14+1x^16

The gray image is a code over GF(2) with n=64, k=14 and d=8.
This code was found by Heurico 1.16 in 0.0469 seconds.