For me it is primarily touch. I am touching with hands, cheeks, lips, nose, and more along with the embrace. My next sense that is more meaningful for me would have to be taste as I have a sweet tooth. I also second the 6th sense as quality time and physical touch are my love languages so yes, the experience brings a profound series of emotions like the sense of love, bonding, nurturing, and safety/acceptance.
Even though I am very visual, surprisingly I go between times of open eyes to closed eyes during the experience. My sense of smell is low so I do not get much from smell though I do notice it sometimes. I am not paying attention to sounds much either during the experience.
Interesting question, it made me think.