∵A={0,1,2,3},
B={x|x=2k,k∈A}={0,2,4,6},
又∵U={0,1,2,3,4,5,6},
∴C UA={4,5,6},
∴(C UA)∪B={0,2,4,5,6}
故答案为:{0,2,4,5,6}