Handley this morning said the fund, called Iliad, backed the social networks a few years ago "knowing that obviously they were on the path" to do something like Twitter had done today.
Trading on the New York Stock Exchange under the symbol "TWTR," shares opened at US$45.10, 73 per cent above their initial offering price.
In the first few hours, the stock jumped as high as US$50.09. Most of those gains held throughout the day, with Twitter closing at US$44.90, despite a broader market decline.
By the closing bell, Twitter was valued at US$31 billion nearly as much as Yahoo, an internet icon from another era, and just below Kraft Foods, the grocery conglomerate founded more than a century ago.
Handley said Iliad was small and had under 20 investors who were "just local people with an appetite for this type of opportunity which isn't really available in New Zealand".
He said he couldn't disclose how many Twitter shares the fund held:
"That's confidential," he told the Herald today.
The 35-year-old said it was great to have more local technology companies like Xero, GeoOp and Snakk for New Zealand investors to back.
"But there's probably an opportunity beyond that for the average investor to have access to the next Twitter and the next Facebook and the next [electric vehicle company] Tesla. There's a broad spectrum of companies when you look out into the world that I think would be super exciting for Kiwis.
How the Twitter IPO worked:
Handley said the Iliad fund had been just "a prototype to start with" and that it could be expanded so it was more accessible to other investors but there were no concrete plans on how this would happen.
"With today's IPO and also where Facebook is at now, I think the partners and myself would say that 'this is working and let's sit and look at it and is there a way for the next phase of it to make it something a lot more people can be a part of.' Which I think will be really exciting." he said.
" If there's any way you could have the Kiwi punter to become a part of [a company like] Twitter long before its listing, then that's something that's interesting [to explore]."