Generate an image showcasing a lesbian couple happily playing with their children in a park, surrounded by a diverse mix of races and ethnicities, all offering their support. Integrate rainbow colors into the composition to symbolize inclusivity and acceptance. Ensure that the scene reflects the beauty of diversity and unity, with individuals from different backgrounds coming together in harmony. The rainbow hues should be prominent throughout the image, enhancing the message of equality, pride, and celebration of LGBT families. Use a vibrant palette to convey positivity and warmth in the park setting.