The flight code you are looking for is IC. And no, IC doesnt as yet earn miles on LH miles and more. Only AI flights earn award miles.
IC and AI (Indian Airlines and Air India) are going to merge by the end of this year, after which it remains to be seen what the mileage earning setup is going to look like. IC sells some heavily discounted fares that probably won't earn you miles, and most flights within india are fairly short (2:30 hrs max) ..