The generator matrix

 1  0  1  1  1  4  2  8
 0  1  1  0  3  1 14  0
 0  0  2  0  2  4  2  2
 0  0  0  2  2  6  6  4

generates a code of length 8 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+320x^5+688x^6+4544x^7+5278x^8+4544x^9+688x^10+320x^11+1x^16

The gray image is a code over GF(2) with n=64, k=14 and d=20.
This code was found by Heurico 1.16 in 1.47 seconds.