Flopped set coordinated flop turns boat, rivers ugly

[AceHiStation]

Party Poker No-Limit Hold'em, $ BB (7 handed) converter

Button ($196.50)
SB ($196.80)
BB ($400)
UTG ($324.88)
MP1 ($587.05)
Hero ($331.70)
CO ($400)

Preflop: Hero is MP2 with 6[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/heart.gif[/img]. SB posts a blind of $2. UTG posts a blind of $4. CO posts a blind of $4.
UTG (poster) checks, MP1 calls $4, Hero calls $4, CO (poster) checks, Button calls $4, SB (poster) completes, BB checks.

Flop: ($28) 6[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(7 players)</font>
SB checks, <font color="#CC3333">BB bets $20</font>, UTG folds, MP1 folds, Hero calls $20, CO folds, Button folds, SB folds.

Turn: ($68) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $30</font>, <font color="#CC3333">Hero raises to $70</font>, BB calls $40.

River: ($208) T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB calls all-in. Here thinks and folds.

How was the hand played throughout? I look at the turn being an extremely weak play on my part and I should have raised much more.

Also, what do you guys put BB on the way he played it? Any comments appreciated.