This being next to the thought experiment posted on here a few years back, along with a nice Pi Alley Parking Garage redevelopment, would make this little corner an urban gem.15 Court Square now proposed for a residential conversion.
Bizarrely asymmetrical window pattern on the north facade--I'm guessing that was done during Boston's Great Stagnation era ca. 1929-1965 when owners could get away with all kinds of bizarre cheapo alterations. Presumably it will be remedied during the conversion. Otherwise, it's a handsome building, if extremely obscured by the huge mass of One Boston Place.
(Also, of course, it is quite buried within labyrinth-like Court Square, though there is something gloriously DTX about that. "How do you get there?" "Well, you can cut through Pi Alley for about 100 yards, or you can navigate through the horseshoe-shaped Court Square, or you can cut through Old City Hall Ave. for about 100 yards. Really, there's no normal way to get there--welcome to DTX!"
https://archboston.com/community/threads/residential-tower-26-court-st-government-center.5671/