I have the live Bernstein, recorded in Tokyo, not his first version, which from reading reviews, definitely took the coda much too fast.
All three Bernstein recordings (1945, 1959, and 1979) are very nearly identical in their final tempo (at Fig. 131): quarter note = 240 (which, along with André Previn's 1965 LSO recording, are the fastest of which I'm aware).
Evgeny Mravinsky—a friend of Shostakovich who conducted the premiere of the Fifth in 1937—made its first commercial recording in 1938. The final tempo on Mravinsky's recording is quarter note = 90! The tempo on Maxim Shostakovich's 1970 recording is quarter note = 106. These are both pretty authoritative sources and are reasonably close, suggesting that a very slow tempo was probably the composer's choice The problem is that the score—or at least the original and current editions of it—gives the tempo as quarter note = 188.
Amazingly, there were different editions of the score with radically different tempo markings at Figure 131:
First Edition of 1939 – quarter note = 188
Editions of 1947 and 1956 – eighth note = 184 (Mravinsky's tempo)
Critical Edition of 1980 – quarter note = 188
Fortunately, it's a great work which tolerates multiple interpretative choices.
James