If there's any question about "is it enough?":
1. biggest possible improvement is to go larger diameter until it won't fit - there is no 10mm or 13/32" OD commercially available, but it would help if 7/16" won't fit.
With same .120" wall, and rating 3/8" as 100 units for a base:
10mm = +21%
13/32" = +36%
7/16" = +80%
1/2" = +198%
2. increased wall thickness is far less effective, only do this when #1 is not possible.

Boffin Emeritus