JPEG to 1200 DPI TIFF Conversion

I have a set of JPEG photographs that I need converted into high-quality TIFFs for further editing work. Every image must come back at 1200 DPI so they drop straight into my post-production workflow without any extra scaling or resampling on my side. Keeping every pixel of detail intact is far more important than file size, so no lossy compression, please.

Deliverables
• One TIFF file for every source JPEG, saved at 1200 DPI
• 16-bit, uncompressed (or LZW if size is excessive and quality is identical)
• Exact pixel dimensions of the originals preserved
• File names kept identical apart from the .tif extension

Acceptance criteria
• I’ll spot-check resolution, bit depth, and visual fidelity against the originals
• Any artifacts, color shifts, or down-sampling will be grounds for revision

A quick turnaround is appreciated, and you’re free to use Photoshop, ImageMagick, or any tool you prefer as long as the output meets the spec.