The generator matrix
1 1 1 1 1 1 2 1
0 2 0 0 4 14 8 8
0 0 2 0 6 6 6 8
0 0 0 2 2 4 4 8
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+66x^4+274x^5+649x^6+3048x^7+8293x^8+3068x^9+658x^10+264x^11+56x^12+2x^13+5x^14
The gray image is a code over GF(2) with n=64, k=14 and d=16.
This code was found by Heurico 1.16 in 0.058 seconds.