The generator matrix

 1  0  0  1  1  1  1  1
 0  1  0  1  6  8  3  0
 0  0  1  1  3  3  0  0
 0  0  0 12  0  4  8  0
 0  0  0  0  8  8  8  8

generates a code of length 8 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+58x^4+244x^5+1693x^6+6416x^7+15949x^8+6408x^9+1698x^10+240x^11+56x^12+4x^13+1x^14

The gray image is a code over GF(2) with n=64, k=15 and d=16.
This code was found by Heurico 1.16 in 0.168 seconds.