Reply to my edit #2: I realize the "To" point 41.0181,77.6708 is just the coordinate of the center of the 1°-wide horizon line. The actual farthest visible point according to your analysis is probably this peak in the west half of the 1° field of view: 41.014862, 77.647818 So I retract my comment about the error being "clearly" on your side. However this does indicate that we definitely calculate things differently. In my analysis Pik Dankova at 41.059542, 77.684808 which is a few km further can actually be seen and that's the source of our differences. I don't know who is right.

It sounds like we're just not casting enough rays then.