Originally Posted by Ghrumpy

That might work.

Problem is, you need 5-6mm extra, but only on the drive side. Overall length might end up more than that, to keep the Q factor close to symmetrical. Coincidentally, that is the size for the old Record/Gran Sport double. But those spindles probably won't work, because the drive side offset might not be enough.
So of course you'll need to measure the length of spindle you have on the drive side, add the 5-6mm to that, and find a BB that has that amount, regardless of the total length.
If you want to try the Record/GS spindles, they might be hard to find. They work only with thin-wall cups, which if your BB is Athena, you might have*. But the Nuovo Record spindles (for thick-walled and rifled cups) are far more common**.
Goes without saying that your frame clearance is the final determinant. If you have lots right now, then the Record/GS might be fine. It should have about 3mm more drive side length than your 111.
If you can find an old 70-SS-120 X3 Record spindle for triples, that would almost certainly work. It's 118mm and has that extra drive side offset. But, pretty dang rare for Italian BBs. (Not as much for 68mm shells, because Paramount used them on the P-15 for quite a few years.)


*According to my reference, the 111mm spindle is Chorus, and is silver. Athena spindles would be black, and 114mm long. Both use thin-wall cups though.
**Record and Nuovo Record spindles are not the same. Fun fact: there are only three individual parts that are actually called Nuovo Record in the catalogs: the thick-cup BB, the alloy rear derailleur, and the 1010/B rear dropout. Everything else in the Nuovo Record gruppo is just Record.