The generator matrix

 1  0  1  1  1  1  1  1
 0  1  3  0  0  0  0  0
 0  0  8  0  0  0  0  0
 0  0  0  8  0  0  0  0
 0  0  0  0  8  0  0  0
 0  0  0  0  0  8  0  0
 0  0  0  0  0  0  8  0
 0  0  0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+36x^2+196x^4+476x^6+1792x^7+11382x^8+1792x^9+476x^10+196x^12+36x^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 0.0248 seconds.