Tape archival data acquisition
Don't imagine "modern" is necessarily any way "better". I'm not about to look up the LT1115's noise performance but unless it's below 1 nV/rtHz it can easily be beaten by a discrete component tape amp.

Tape head amplification is not merely gain, thanks to (a) the characteristics of inductive pickups (tape heads) but also the (different choices of) frequency shaping aka "equalisation" which differ for ferric and chrome tapes.

(And you're on your own with Dolby B decompression, you'll need some serious DSP to mimic that on the digitised signal)

Assuming you mean cassette rather that open reel, the only serious published design for tape playback I know of was by John Linsley-Hood, in the British "Wireless World" magazine in the mid-70s. May be findable by online searches if you're lucky. Either copy that directly (JLH designs were regarded as seriously high quality) or read, understand, and adapt/modernise as you see fit.

EDIT : found here (scroll down to May 1976) - the BC214 input stage provides pretty low noise, but you might want to upgrade a bit from the 741 in a later stage of the replay amp!