Uhh, no, Picard was only 59 in TNG's first season.
Really I though he was 40 at the most.
You're forgetting the timing. He was captain of the Stargazer
for 22 years, then TNG began 9 years later. The idea was that Picard was an accomplished, grand statesman who'd already had a legendary career, while Riker was his up-and-coming protege.
Patrick Stewart, on the other hand, was 47 when TNG began.