$2 NLHE 6-max: How to get max value from the nuts?

Villian Stats (VPIP/PFR/AF): 61/17/36

In the following hand, how would I go about getting more money from a loose player?

I had pocket kings and raised pre flop from the BB and got three limp/callers. You can see the hand as it progresses and that I hit quad kings on the turn. I check it and the villain bets big and I call. What do I do on the river to get max value from him? Did I bet the right amount here? Was he always folding to a bet after I called the turn? Just wondering if I could have played this differently for a bigger pot?

IPoker Network $2.00 No Limit Hold'em - 6 players
DeucesCracked Poker Videos Hand History Converter

Player1 (SB): $1.19 - VPIP: 84, PFR: 28, 3B: 10, AF: 1.5, hands: 25
Hero (BB): $5.00 - VPIP: 20, PFR: 14, 3B: 3, AF: 3.0, Hands: 9780
Player5 (UTG): $3.92 - VPIP: 61, PFR: 17, 3B: 11, AF: 1.8, Hands: 46
Player6 (MP): $7.76 - VPIP: 81, PFR: 3, 3B: 0, AF: 0.5, Hands: 31
Player8 (CO): $3.03 - VPIP: 22, PFR: 13, 3B: 6, AF: 3.1, Hands: 143
Player10 (BTN): $3.46 - VPIP: 84, PFR: 28, 3B: 10, AF: 1.5, Hands: 25

Pre Flop: ($0.03) Hero is BB with K♣ K♦
Player5 calls $0.02, Player6 calls $0.02, Player8 calls $0.02, 1 fold, Player1 calls $0.01, Hero raises to $0.16, Player5 calls $0.14, Player6 calls $0.14, 1 fold, Player1 calls $0.14

Flop: ($0.66) 2♦ 5♦ K♠ (4 players)
Player1 bets $0.06, Hero raises to $0.18, Player5 calls $0.18, Player6 calls $0.18, Player1 folds

Turn: ($1.26) K♥ (3 players)
Hero checks, Player5 bets $0.94, Player6 folds, Hero calls $0.94

River: ($3.14) T♦ (2 players)
Hero bets $1.48, Player5 folds

Final Pot: $3.14
Hero wins $2.94
(Rake: $0.20)

Against players this bad you should never slowplay.
When playing a pot multiway you should never slowplay (well more or less).

Raise more on the flop (60c)
Bet the turn
Go all in on the river.

Sure there isn't that much our opponents can have once we have quads but your up against several really really bad fish. We can expect pretty much any pair to stack off, alongside flushes and sets. We'll also see a few straight draws call us down on the flop and turn in the form of A3/A4/34/64 alongside 2x/5x.

When you get a good hand against a really bad player don't worry about "what can they possibly call with". Just look for the best way to get your stack in.