I could not pin down where SB 11 was other than its about maybe 20ly west of Andoria so the distance is something around 40-50ly.
At TOS warp 8 it might take around 4-5 months. Depending on what version of warp speeds one uses. Could be substantially shorter.
In my own RPg it would take about 5 months to cover 50ly at drive factor 8.
Do you have the map that we are talking about?
It was included in the "Star Trek Charts" book written by Geoffrey Mandel and published in 2002.
Find the Briar Patch aka "Klak Da Kel Brackt"
Start looking a little 'lower' or towards yourself - towards the bottom of map, but not the bottom.
"Starbase 11" or SB 11 should not be that far from Starbase 2.
Its 'there' - trust me.
Just wish I had a physical copy of it front of me.
I use it in my GURPS: Star Trek campaign....or want to again.
- Ed C.