Did 14% on non-citizen residents vote? Not just no, but there is no evidence that any significant number of non-citizen residents voted.
If you keep hearing about an "academic study" which concludes that 14% of the non-citizen residents of the US voted, here's what the people who do the survey on which that study is based have to say about it:
"We found that NONE of the 85 individuals in the 2010-2012 panel survey who indicated that they were non-citizens in 2010 and again in 2012 in fact voted."
They use a panel study approach, in which the sample consists of a fairly large group of people who are interviewed or fill out a survey response form repeatedly over time. They can then identify some response errors (e.g., someone who checked the "citizen" box in one year and the "non-citizen" box in another). And the sample of non-citizens is really small--85 in the repeated sample (none of whom claimed to have voted, you will note).
The people who maintain the database allow other people to use it for research purposes, but they are not the ones who did this research, about which they say: “The Richman and Earnest study is an incorrect use of the survey that we manage, and a false claim of evidence of non-citizen voting. It’s a dangerous, stray false-fact.”