Please recommend me a flashlight with two modes (or just red LED), no longer than 13cm or wider than 2cm

Something along this:
http://www.amazon.com/Smith-Wesson-Galaxy-Flashlight-White/dp/B000I4O8BK/ref=sr_1_7?ie=UTF8&qid=1380236080&sr=8-7&keywords=red+led+flashlight
Only shorter.

Budget (including shipping) is about 25$.

Thanks in advance!

Anyone please?

http://www.ebay.com/bhp/mini-maglite-pro ?

Oops, the non-plus is single mode... try this: http://www.ebay.com/bhp/maglite-pro-plus

This was close, then I saw your budget.

https://illuminationsupply.com/sunwayman-c-28_90/sunwayman-d20a-xpg2-xpe-p2-258-lumens-2-x-aa-p-752.html

If you can double your budget, it cost about that much there right now with their new coupon code.

~3cm, P-60 is cheap.

http://www.amazon.com/UltraFire-WF-502B-CREE-Single-Flashlight/dp/B008YQDDZ6

How about the Klarus lights on sale in this thread?

https://budgetlightforum.com/t/-/22144

For that size may be this
WF-501A a bit wider.

Using diffuser can be an option too.

Perfect! Question is: Is it strong enough? And is there a black one?

I can’t find with black one in KD. Strange, they have blue , yellow and green but not red led with black body.
This store have it, but price is rather high Torch direct HM01
For Wholesale

Sorry, I can’t answer strong enough or not too because I don’t have the flashlight.
If drive like in specification, it is strong enough for short distance.
Basically it’s about same with Tank007 HM01

Not sure it fits your size requirements—but Manafont has drop-in
modules for P-60 lights that are
“Integrated Cree R5 LED and Red LED Memory Drop-in Module (4.2V) ”

http://www.manafont.com/product_info.php/integrated-cree-r5-led-and-red-led-memory-dropin-module-42v-p-7327