The generator matrix

 1  0  0  0  1  1  1  6
 0  1  0  0  2  5  7  1
 0  0  1  0  3  1  2  3
 0  0  0  1  1  2  3  3

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

Homogenous weight enumerator: w(x)=1x^0+672x^5+2800x^6+15456x^7+27678x^8+15456x^9+2800x^10+672x^11+1x^16

The gray image is a code over GF(2) with n=64, k=16 and d=20.
This code was found by Heurico 1.16 in 272 seconds.