Sixteen would be New Zealand's biggest haul at an Olympics, beating by three the efforts from Seoul, Korea. It would be a stunning haul.
It would also surge past Sport NZ's cagey forecast of "10 or more" medals and the Associated Press' pick of 14.
The Wall Street Journal, another journalistic pillar, has also picked New Zealand to win five golds, but 13 in total.
It stated its "projections are a product of the probabilities of success based on recent performance, interviews with experts and other factors".
It's the "other factors" that probably tell you the most about the pitfalls of trying to predict human performance under pressure.
Sports Illustrated is not the top end, however. USA Today, with the help of Infostrada, has picked New Zealand to win 17 medals, including five golds.
Professional analysts and amateur tipsters have become emboldened in recent Games by the fact that in modern sport there is little room for the bolters, the fairytale finishes. They do happen, but rarely these days.
Look back to world championship, world cup and other "pinnacle" events and you tend to find your Olympic medallists consistently hovering around the top three.
Goldman Sachs has looked deeper, though, much deeper. Its analysts have used models based on previous Olympic performance and economic factors for their predictions.
New Zealand does not fare so well here, coming in with three golds and 11 medals in total. It's the economy, stupid.
Even Goldman's tally seems absurdly generous compared with analysis by the Tuck School of Business at Dartmouth College, US.
It's handed New Zealand just seven medals, a tally that mirrors the number handed out by PricewaterhouseCoopers' own report. No more than three of those seven will be gold.
Don't write off Tuck's analysis too quickly - it has won a reputation for being the most accurate tipster.
Here's another thought: you could just sit back, relax and enjoy the spectacle.