Stolen from BSR Twitter..

[mcdawg22]

More unlikely, Robson reaching base 13 straight times, or Rossterphobic with a RBI single. What's the record for most consecutive on bases.

 

[HD6]

I asked, they didn't have that one ready to go.

 

[mcdawg22]

16 is the official record for mlb.

Ted Williams, per wiki