The generator matrix

 1  0  1  1  1  0  2  1
 0  1 11  6  5  1  0  0
 0  0 12  0  4  4  4  0
 0  0  0 12  4  4 12  0
 0  0  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^4+138x^5+521x^6+1520x^7+3725x^8+1540x^9+530x^10+128x^11+36x^12+2x^13+5x^14

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 0.0141 seconds.