Langford's Problem

It is possible to arrange two 1's that are seperated by one digit, two 2's that are separated by two digits, and two 3's that are separated by three digits as follows:

3 1 2 1 3 2

Can you do the same for four number pairs? Two 1's that are separated by 1 digit, two 2's separated by two digits, two 3's that are seperated by three digits, and two 4's that are separated by four digits?