The generator matrix

 1  0  1  1  1 12  2  1
 0  1  1 12 11  1  4  0
 0  0  2  6  4  6  2  0
 0  0  0  8  0  0  8  0
 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+87x^4+176x^5+1334x^6+2896x^7+7391x^8+2896x^9+1348x^10+176x^11+73x^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 0.0494 seconds.