The generator matrix

 1  1  1  1  1  1  1  1
 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  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+20x^2+100x^4+428x^6+7094x^8+428x^10+100x^12+20x^14+1x^16

The gray image is a code over GF(2) with n=64, k=13 and d=8.
This code was found by Heurico 1.16 in 0.00932 seconds.