In the analysis I did (linked at the top of this post), the 5 longest winning streaks at 49.5% were four 27's and a 30, while the 5 longest losing streaks at 49.5% were 32, 27, and three 26's. It's interesting that you don't really see the house edge in operation there, in that the winning streaks were longer than the losing streaks "on average". (I know, you can't average streak lengths like that...):
W L
30 32
27 27
27 26
27 26
27 26
ah i totally misremembered the win streak. the spread is a lot closer than i had originally thought.