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We experimentally study Bose-Einstein condensation of photons (phBEC) in adye-filled microcavity. Through multiple absorption and emission cycles thephotons inside the microcavity thermalize to the rovibronic temperature of thedye solution. Raising the photon density of the thermalized photon gas beyondthe critical photon density yields a macroscopic occupation of the groundstate, i.e. phBEC. For increasing density, we observe an increase of thecondensate radius which we attribute to effective repulsive interactions. Forseveral dye concentrations we accurately determine the radius of the condensateas a function of the number of condensate photons, and derive an effectiveinteraction strength parameter $\tilde{g}$. For all concentrations we find$\tilde{g} \sim 10^{-2}$, one order larger than previously reported.

The Effective Interaction Strength in a Bose-Einstein Condensate of Photons in a Dye-Filled Microcavity