Sure! Here are 5 sets of 4 colors each, designed to be distinct within each set while ensuring they harmoniously complement the other sets. This way, you can assign them to individuals while maintaining an aesthetically pleasing overall palette.

Set 1

 <Set 1>
1. Soft Fern - 
                            
                            #A8D5BA
                         - A muted green for a calming presence.
2. Coral Reef - 
                            
                            #FF6F61
                         - A lively coral that adds vibrancy.
3. Warm Clay - 
                            
                            #C17A6B
                         - An earthy terracotta for depth.
4. Honey Gold - 
                            
                            #E2B700
                         - A rich golden hue that shines.

Set 2

 <Set 2>
1. Sky Mist - 
                            
                            #B7E0F2
                         - A light blue for tranquility.
2. Dusty Rose - 
                            
                            #D6C2C0
                         - A warm and inviting muted pink.
3. Ocean Wave - 
                            
                            #009B77
                         - A deep teal that resonates with nature.
4. Creamy Almond - 
                            
                            #F7E8D8
                         - A soft neutral to balance the palette.

Set 3

 <Set 3>
1. Lavender Mist - 
                            
                            #EAD6E8
                         - A soft lavender for a whimsical touch.
2. Sunset Orange - 
                            
                            #F4A300
                         - A warm orange that feels inviting.
3. Steel Blue - 
                            
                            #4682B4
                         - A strong blue for sophistication.
4. Soft Blush - 
                            
                            #F4C1C3
                         - A delicate blush for elegance.

Set 4

 <Set 4>
1. Riverstone - 
                            
                            #A4B7C1
                         - A cool muted blue for serenity.
2. Orchid Bloom - 
                            
                            #D0B1E8
                         - A pastel purple that's light and airy.
3. Earthy Taupe - 
                            
                            #BFA6A0
                         - A neutral taupe that grounds.
4. Deep Plum - 
                            
                            #6F2C91
                         - A rich plum for a sense of luxury.

Set 5

 <Set 5>
1. Mint Breeze - 
                            
                            #B2E4D4
                         - A refreshing mint that’s bright yet soft.
2. Soft Denim - 
                            
                            #4B8DAA
                         - A gentle blue for approachability.
3. Golden Sand - 
                            
                            #E8CBA0
                         - A warm soft beige for comfort.
4. Charcoal Grey - 
                            
                            #4A4A4A
                         - A deep grey for balance and sophistication.

This arrangement allows each set to stand out while maintaining an overall cohesive look. The colors have been chosen to ensure that they work well together, both within individual sets and across the entire palette.

Would you like any further refinements or additional sets? Or do you have any specific preferences regarding color intensity or brightness?