Should hero call this turn raise with second set?

Lively home game, €1/€2 round of each, Texas and Omaha.

PREFLOP

Button straddles to €5. Hero (€600) is in the SB, looks down at K♦K♥5♦3♣, and calls the straddle. There are six more callers before the action gets back to the button, who checks his option. I realise this is weak preflop play and that I should probably simply fold - I was having a good night and not concerned with playing perfect poker - I just wanted to see if I could hit my set.

FLOP (€40)

A♠K♣4♠

Hero bets €30. Villain (€550) calls, the others fold. Villain is an old adversary who I have been battling for many years. A tricky, loose-aggressive player who has got many tricks up his sleeves.

TURN (€100)

A♠K♣4♠2♦

So my reasoning at this point is that villain is very unlikely to have AAxx, as he did not raise preflop or on the flop. Hero bets €100, villain raises to €400. Hero...?