The generator matrix

 1  1  1  1  2  2  2  2
 0  2  0 14  6  6  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+100x^4+32x^5+800x^6+992x^7+4342x^8+992x^9+800x^10+32x^11+100x^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 0.0197 seconds.