Based on your query for a vibrant yet not overly saturated color palette that complements the color 
                            
                            #28899d
                         (a rich teal), I've created a 10-color palette. This palette is designed to harmonize with the theme of national flowers of Latin American countries while ensuring that the colors are vibrant yet balanced. 

### Color Palette for T-Shirt Design

1. **Teal Blue**
   - **Color Name:** Tropical Teal
   - **Hex Code:** 
                            
                            #28899d
                        
   - **Description:** The base color of the palette, a deep, vibrant teal that evokes tranquility and connection to nature.

2. **Coral Pink**
   - **Color Name:** Sunset Coral
   - **Hex Code:** 
                            
                            #FF6F61
                        
   - **Description:** A soft yet vibrant coral that adds warmth and energy, reminiscent of tropical flowers.

3. **Golden Yellow**
   - **Color Name:** Honey Gold
   - **Hex Code:** 
                            
                            #FFC107
                        
   - **Description:** A warm, inviting yellow that brings a touch of sunshine and joy, perfect for floral motifs.

4. **Rich Purple**
   - **Color Name:** Orchid Bloom
   - **Hex Code:** 
                            
                            #7E1B7A
                        
   - **Description:** A bold, dark purple that adds depth and sophistication, representing the richness of nature.

5. **Lime Green**
   - **Color Name:** Fresh Lime
   - **Hex Code:** 
                            
                            #A4D65E
                        
   - **Description:** A bright yet muted lime green that invigorates the palette with a fresh, lively touch.

6. **Soft Peach**
   - **Color Name:** Blushing Peach
   - **Hex Code:** 
                            
                            #F5CBA0
                        
   - **Description:** A gentle peach that softens the palette, adding a romantic feel akin to blooming flowers.

7. **Deep Magenta**
   - **Color Name:** Fuchsia Dream
   - **Hex Code:** 
                            
                            #D5006D
                        
   - **Description:** A strong magenta that energizes the palette, symbolizing passion and vibrancy.

8. **Muted Sky Blue**
   - **Color Name:** Serene Sky
   - **Hex Code:** 
                            
                            #A4C8E1
                        
   - **Description:** A calm sky blue that complements the teal and provides a serene backdrop for floral designs.

9. **Earthy Brown**
   - **Color Name:** Rustic Bark
   - **Hex Code:** 
                            
                            #4E3B31
                        
   - **Description:** A rich brown that grounds the palette, reflecting the earthiness of nature and providing contrast.

10. **Creamy White**
    - **Color Name:** Soft Ivory
    - **Hex Code:** 
                            
                            #FDF2E9
                        
    - **Description:** A gentle off-white that adds brightness and can be used for text or highlights, ensuring clarity and freshness.

### Palette Overview:
This palette features a balance of warm and cool tones, with a primary focus on colors that evoke the beauty and diversity of Latin American flowers. Use these colors to create a vibrant and eye-catching t-shirt design that celebrates nature and culture while ensuring that the overall aesthetic remains cohesive and inviting.