The generator matrix
1 1 1 1 2 2 1 1
0 2 0 2 0 2 8 8
0 0 2 2 2 2 0 0
0 0 0 4 0 0 4 8
0 0 0 0 4 12 0 12
0 0 0 0 0 8 8 8
generates a code of length 8 over Z16 who´s minimum homogenous weight is 3.
Homogenous weight enumerator: w(x)=1x^0+26x^3+87x^4+530x^5+1622x^6+7124x^7+13983x^8+7124x^9+1636x^10+530x^11+73x^12+26x^13+6x^14
The gray image is a code over GF(2) with n=64, k=15 and d=12.
This code was found by Heurico 1.16 in 0.207 seconds.