Notts have won just two of their 12 games in the competition so far this season.
It has been almost two decades since the Outlaws have won only two matches in the competition, doing so in both 2005 and 2004 when there were significantly fewer group games.
For Notts, the T20 campaign this year produced unwanted history when they managed a club record low total of 57 in their nine-wicket defeat by Birmingham Bears earlier in July.
That tally was the forth lowest produced by any county since T20 cricket became part of the domestic schedule in 2003.
Notts finish their campaign with two games on the road this week, with high-flying Lancashire hosting them on Wednesday (18:30 BST) before they travel to Headingley on Thursday (18:45) to take on a Yorkshire side in pursuit of a knockout spot.
“Hopefully, we can go to Old Trafford and Headingley to show everyone that we can go out and do it and go again for next year,” Stone, 30, said.
“It’s never nice losing and the boys are learning.
“It doesn’t just happen overnight, unfortunately, and we have shown in this competition that there have been glimpses of it – we just need to go away and put that all together for a 20-over performance rather than four or five overs at a time.”