Vivid Notions is the closest fit on the game's own numbers: Shikanoin Heizou's kit multiplies ATK, and a weapon is ranked here on whether its ascension stat and its passive act on that stat. Reliquary of Truth, Royal Grimoire and Nocturne's Curtain Call come next. No playtested ranking has been imported for Shikanoin Heizou, so this is arithmetic over the kit data rather than a damage measurement.
Run Desert Pavilion Chronicle on Shikanoin Heizou, with Viridescent Venerer and A Day Carved From Rising Winds behind it. Main stats are ATK% sands, Anemo DMG Bonus goblet, CRIT Rate / CRIT DMG circlet. Roll substats in the order CRIT Rate > CRIT DMG > ATK% > Energy Recharge.
Talent priority is Normal Attack > Elemental Skill > Elemental Burst. The Elemental Burst costs 40 energy, which is what an Energy Recharge target has to clear.
The strongest team is Shikanoin Heizou, Faruzan, Yelan and Bennett, built around Shikanoin Heizou: Anemo · Swirl.