Two transistor temperature sensor
Your very first equation is wrong. If you check your link, it should be

Vbe = (kT/q) ln(ic/is)

When you correct your math, the temperature for your circuit is just about 300 K. Actually, assuming a current ratio of 100 gives 302.45 K, but that isn't quite right, and I'm too lazy to solve for the exact values. Plus, I doubt that your experimental error would support any more precision.

And, just as bit of advice, when you are working with measurements which have 3 significant digits, reporting a computation to 16 significant digits suggests very strongly that you have no idea what the limitations of your measurements are. Just a tip.