The generator matrix
1 1 1 1 1 1 1 1 2 2 2 2 4 4 4 4
0 12 8 4 0 12 8 4 12 4 0 8 12 4 8 0
generates a code of length 16 over Z16 who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+59x^16+4x^20
The gray image is a code over GF(2) with n=128, k=6 and d=64.
This code was found by Heurico 1.16 in 0.00153 seconds.