The generator matrix

 1  1  1  1  1  1  1  1
 0 12  0  0  0  4 12  4
 0  0 12  0  4  4 12  0
 0  0  0 12  4  0 12  4
 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+140x^4+448x^6+7014x^8+448x^10+140x^12+1x^16

The gray image is a code over GF(2) with n=64, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0252 seconds.