The missing term that will logically complete the series is NPF 17.
The series can be broken down into four independent patterns for each character position (using alphabet positions where A=1,B=2,…,Z=26):
First Letter (+5 progression):
T (20)+5=Y (25)
Y (25)+5=30→D (4)
D (4)+5=I (9)
I (9)+5=N (14)
Second Letter (−3 progression):
B (2)−3=−1→Y (25)
Y (25)−3=V (22)
V (22)−3=S (19)
S (19)−3=P (16)
Third Letter (+5 progression):
L (12)+5=Q (17)
Q (17)+5=V (22)
V (22)+5=27→A (1)
A (1)+5=F (6)
Number (−3 progression):
29−3=26
26−3=23
23−3=20
20−3=17
Combining these results gives NPF 17.