Well, lots that you could change to get more miles. What you propose doesn't maximise miles if that is what you are after.
For one, Forget DXB on the way out and save it to do LHR-DXB-LHR and another other Europe (e.g., HEL) trip for another day.
You only need a 3 continent fare. You're not maximizing your 4 continent fare.
If time permits, try flying ex-Europe. The fare is much cheaper than ex-U.K. the last time I looked.
You could also do more in N. America, time permitting.
[This message has been edited by terenz (edited 08-30-2002).]