Have I by mistake "developed" a new chili pepper variety?

A year ago I bought a bunch of chili seeds that I planted and then kind of left to its own devices on my balcony together with 3 other types of chili pepper. I watered the plants but I didn't give them any other love.

Despite my negligence the plants thrived and some of the chili peppers developed a very particular appearance.
Perhaps 1 out of 10 fully grown peppers kind of resembled a flower with petals around its base. They aren't suppose to look like that.

https://i.imgur.com/Km2GFu3.jpg

I saved the seeds from the largest and most distinct "flower chilis" and planted them to see if the odd appearance of the peppers would come back in generation 2...and so far 5 out of 5 developed fruits have the same flower appearance. Some only have 2-3 "petals" around the base of the fruit but some have 5-6.

My four gen 2 plants have perhaps 60 more peppers in development (out of 100 flowers) and this year the gen 1 plant only have 2 out of 30 peppers that have the flower appearance.

I have only found one pic on the internets of the same base variety that have a hint of a "petal" but none that look like mine.

I know that new chili varieties aren't considered to be stable until gen 6-7 so I have more planting to do :) but which steps do I need to take to solidify the variety except replanting seeds and growing new generations?