I have uploaded already the hck's with (3-4-5-4-5), (4-5-6-7-5-4) dot patterns. By the way the 2-3-2 rangOli is trivial with only two colours. Today I am uploading one with (5-6-7-8-9-8-7-6-5) dot pattern. This has got six strings with similar symmetry. What Mrs Jaya Mohan said is true. These hck's bear resemblance to the aiSvarya rangOlis. In fact, I have discussed the aiSvarya rangOlis more than a year ago at
http://www.ikolam.com/node/5387?p=1930
The number of colours there plus two is the total number of colours you will get for these rangOlis. The pattern here is a modofication of the third one at the top in that. I arrived at these independently in a different way. jayAjI's comments urged me to go back to the above. Enjoy!
Regards! - mOhana