The generator matrix

 1  0  1  1  1  0  2  2
 0  1 11  6  5  1  8  8
 0  0 12  0  4  0  0  8
 0  0  0 12  4 12  4 12
 0  0  0  0  8  0  8  8
 0  0  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+67x^4+320x^5+742x^6+3264x^7+7591x^8+3264x^9+756x^10+320x^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 0.0389 seconds.