Hand Rankings with Six Card Hands

[NYCNative]

I was pondering a game of 7-card stud where the best poker hand of 6 cards wins the pot. In such a game, where would three pairs and a "packed apartment" (Quads and a pair) rank amidst the usual hand rankings? My guesses are below:

HIGH CARD
ONE PAIR
TWO PAIRS
<font color="red">THREE PAIR</font>
THREE OF A KIND
STRAIGHT
FLUSH
FULL HOUSE
QUADS
<font color="red">PACKED APARTMENT</font>
STRAIGHT FLUSH