The generator matrix

 1  0  0  1  1  1  8  1
 0  1  0  1 12 13  1  0
 0  0  1  1  0  3  3  0
 0  0  0  2  6  4  4  8
 0  0  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+130x^4+626x^5+3013x^6+12952x^7+32085x^8+12940x^9+3066x^10+600x^11+104x^12+18x^13+1x^14

The gray image is a code over GF(2) with n=64, k=16 and d=16.
This code was found by Heurico 1.16 in 0.532 seconds.