The generator matrix

 1  1  1  1  2  2  2  1
 0  2  0  2  4  2  6  0
 0  0  2  2  2  6  0  0
 0  0  0  4  0  4  0  8
 0  0  0  0  8  0  8  0
 0  0  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+67x^4+256x^5+1126x^6+3328x^7+6823x^8+3328x^9+1140x^10+256x^11+53x^12+6x^14

The gray image is a code over GF(2) with n=64, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0723 seconds.