Not really. The first one was the * year (and I have explained why the * applies many times, please let's not rehash that) and your last one was in large part due to horrific NBA administration suspending Amare Stoudemire for Robert Horry's cheap shot.
2003 featured a fix job in Game 1 vs the Lakers with a 35-12 FT attempt disparity that swung the series in your favor.
Lakers won several les in a shorter time span in the 50s.
We all know your run doesn't compare to the run of the Celtics of the 60s
Lakers of the 80s won 5 in 8 years including the first back to back in the league in 20 years
90s Bulls threepeated twice
LakeShow Lakers threepeated right in the middle of your so called dynasty.
It has been a nice run, but certainly not "one of the great runs in NBA history period"
Sorry to be the bearer of bad news, but tonight is the end of your team's run, you will not have HCA in the first round of the playoffs again with this team and you are hopeless without it.