That does seem to happen to the Sox a lot, especially in the pre-Henry years.
Here's a look at this year... (after scoring 9 or more runs- first game scoring 9+ listed, some multiple stretches listed)
10-8-14-7-6-7-10-3-10-9-8-7
10-6-5-5-5-6-6
9-6-7
14-2-5-9-9-4-1-11-1-4-11-3-10-15-7-5-8
10-3-2-1-15-4-4-5-10-10-5-19-5-6
10-7-3
14-9-1-6
9-3-3
11-7-4-3-6-19-3-6-5-10 (last game of season)