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Searching for Earth-sized planets in data from Kepler's extended mission (K2)is a niche that still remains to be fully exploited. The TFAW survey is anongoing project that aims to re-analyze all light curves in K2 C1-C8 andC12-C18 campaigns with a wavelet-based detrending and denoising method, and theperiod search algorithm TLS to search for new transit candidates not detectedin previous works. We have analyzed a first subset of 24 candidate planetarysystems around relatively faint host stars (10.9 < $K_{p}$ < 15.4) to allow forfollow-up speckle imaging observations. Using VESPA and TRICERATOPS, westatistically validate six candidates orbiting four unique host stars byobtaining false-positive probabilities smaller than 1% with both methods. Wealso present 13 vetted planet candidates that might benefit from other, moreprecise follow-up observations. All of these planets are sub-Neptune-sized,with two validated planets and three candidates with sub-Earth sizes, and haveorbital periods between 0.81 and 23.98 days. Some interesting systems includetwo ultra-short-period planets, three multi-planetary systems, threesub-Neptunes that appear to be within the small planet Radius Gap, and twovalidated and one candidate sub-Earths (EPIC 210706310, EPIC 210768568, andEPIC 246078343) orbiting metal-poor stars.

TFAW survey II: 6 Newly Validated Planets and 13 Planet Candidates from K2