peninitial
Falling in the position after initial position; second.
In examples (81) and (82), the postpositive possessives do not occupy the peninitial position in the clause, nor the peninitial position of the NP.
Where it comes from
Blend of penultimate + initial, treating pen- (from Latin paene (“almost”)) as a prefix.
Adapted from the Wiktionary entry peninitial (CC BY-SA 4.0).