Create a striking digital illustration for a t-shirt design aimed at adults, featuring a bold sunset over a tranquil ocean. The design showcases a large sun setting on the horizon, outlined in thick black lines, with vibrant gradient colors transitioning from deep orange at the center to soft pink and purple radiating outward. Silhouetted palm trees frame the scene on either side, also outlined boldly to enhance the visual impact. The typography should read "Chasing Sunsets" in a modern, sans-serif font, placed below the graphic in white for contrast against the colorful background. The placement of the graphic should be centered across the chest of the t-shirt. The medium is digital illustration, employing strong outlines with gradient fills to create a striking effect. There should be no post-production effects, ensuring a clean finish. The background should be transparent for easy application on the t-shirt.