A new and distinct cultivar of Anthurium plant named `TWYAN0015`, characterized by its upright, outwardly arching and symmetrical plant form; compact growth habit; freely clumping habit; full, dense and bushy appearance; relatively small, glossy and dark green-colored leaves; freely flowering habit; inflorescences positioned at or slightly above foliar plane; and relatively small inflorescences with bright red-colored spathes and creamy white-colored spadices.