Here is a single color palette with a base color of gray for a stylish website of an electrical construction company:

1. Color Name: Slate Gray
   Hex Code: 
                            
                            #708090
                        
   Description: This deep gray color represents stability and professionalism, making it suitable for the website's background or headers.

2. Color Name: Silver
   Hex Code: 
                            
                            #C0C0C0
                        
   Description: This light gray shade adds a touch of elegance and modernity, perfect for text or icons on the website.

3. Color Name: Electric Blue
   Hex Code: 
                            
                            #00BFFF
                        
   Description: This vibrant blue shade brings a sense of energy and innovation, ideal for highlighting important elements or buttons.

4. Color Name: Charcoal
   Hex Code: 
                            
                            #36454F
                        
   Description: This dark gray color provides a strong contrast to accentuate specific areas or create a sense of depth on the website.

5. Color Name: Platinum
   Hex Code: 
                            
                            #E5E4E2
                        
   Description: This pale gray tone serves as a neutral backdrop, offering a clean and professional look to the website's content areas.

6. Color Name: Steel Blue
   Hex Code: 
                            
                            #4682B4
                        
   Description: This medium blue-gray shade adds a touch of sophistication, suitable for decorative elements or interactive features on the website.

This color palette combines various shades of gray with a couple of blue tones to create a sleek and stylish look for the electrical construction company's website.