A gf mapping which opens a tab or window?

Apologies if I'm asking the bleeding obvious, but as so often I find it
hard to find what I'm looking for in the help.

The `gf` mapping opens the file name under the cursor in the same window. I
have a file with one (absolute) file path on each line, and would like to
be able to open two or more of them in new tabs without closing that file.
If I do `gf` and then `:tabe #` I "lose my position" in the file with
paths. So is there a mapping or command which opens the filepath under the
cursor in a new tab or at least a new window without losing my position in
the file with the path, or how could one be created (it probably could,
this being Vim, but I can't figure out how...)?

TIA,
/bpj

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