The Hatters were 4-0 up by half-time, with James Collins netting twice, whilst Elliot Lee and James Justin also got on the score-sheet.Collins completed his hat-trick in the second half before Joel Grant grabbed a late consolation for the visitors.
The result maintains the Town's spot in fifth in Sky Bet League One, moving four points clear of seventh placed Blackpool and to within four points of second placed Sunderland.
Jones said: "I have got to be honest with you, the first half display is as good as I have seen. I could wax lyrical about it – the football we played was something to be really proud of.
"Me and my staff work long hours to achieve something like that. I am not getting carried away, I am not over eulogising in any kind of way, but I thought we were wonderful, we were absolutely scintillating. The passing, the movement.
"Plymouth are in a false position. Anybody might have expected league position wise [for the result to end the way it did], they might think 'that might have happened', but they're in a false position. The front four they have got are very, very good for this level.
"I thought our performance was superb, first half I thought we were absolutely wonderful and the pleasing thing is we kept that up second half as well. It's easy to take your foot off the gas, they've changed to a 4-5-1 and sat in which I think was tactically right without being disrespectful to anyone from Derek Adams' side.
"Second half we should have scored two or three more which would have made it even more scintillating, but if someone had offered me this result at the start of the day, I would have been delighted."