7th sus4 chords
The seventh suspended chords are less common than the regular sus4 and sus2 chords. As with sus chords in general, the sus7 chord is often almost similar to the dominant 7th chords, but in many cases the shapes are kind of hard to play because of the lack of natural ways to add the fourth tone.
The diagrams below are suggestions of how to play these chords.
The C7sus4 is obviously a barre chord, it could also be played as X3331X. The most common alternative to the suggestion for F7sus4 is to play it as a barre chord: 131311. This is also true about G7sus4 (353533).
Notice that A7sus4 are identical with a version of the A13 chord.
Progressions including this chord type:
Em - Am - D7sus4 - D7 - G
G7sus4 - G7 - F7 - C7
In the famous song "California Dreaming" a 7sus4 to 7th modulation is used:
Am - G - F - G - E7sus4 - E7 (capo 4)
Yes, this chord type also exists, but since they are much more uncommon than 7sus4 they are not present on the site so far.