The generator matrix

 1  0  1  1  1  0  2  2
 0  1 11 14  5  1  0  0
 0  0 12  4  0 12 12  0
 0  0  0  8  0  0  0  8
 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+84x^4+192x^5+928x^6+3392x^7+7190x^8+3392x^9+928x^10+192x^11+84x^12+1x^16

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 0.0518 seconds.