I'm gonna give you two contrarian responses to the mold issue:
1, What's your health worth? Even sniffing/inhaling mold can be detrimental to your health and is that worth it over a jar of pepper mash?
2, How does it smell?
If it doesn't smell like rot, scrape it off (take an inch below the surface), close it up again and see if it comes back. Remember, mold is everywhere, you didn't add that mold, it was already there, probably on the surface of the pepper. It's just preferentially growing instead of lactobacillus but when the quantities get high it can get to levels that are toxic. It may be Kahm yeast, but I'm no mycologist so can't tell.
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BUT in my eyes - there are two major problems with your ferment:
- There are many pieces of pepper stuck to the side of jar so not covered in brine - these are going to be mold magnets. And there is too much headspace. Lactobacillus thrives in an anaerobic environment whereas those pieces on the side and top are directly exposed to the air in the jar. If you don't have enough mash to fill the jar, use a smaller jar or just top it up with brine.
- Use a decent airlock. Burping is risky - it may work for some but an airlock is foolproof.
For both of these reasons I only ferment mashes using the vacuum bag method now. Jar ferments for large pieces.