stocks10 Top Penny Stocks to Watch This Week - and One to Buy September 17, 2018 by Money Morning Staff Reports Healthcare stocks dominated last week's 10 top penny stocks, with the top penny stock locking in a 60% gain. Last Thursday (Sept. 13), shares of My Size Inc. jumped from $0.91 to $1.44 – a gain of 59%. While My Size noted that there was not significant development to account for the company's sudden stock jump, investors leaned into the rally, closing the company's stock out on Friday with a 60% gain.