Final answer:
The maximum ampacity for a 14-AWG THW conductor in this scenario is 15 amps.
Step-by-step explanation:
The maximum ampacity for a 14-AWG THW conductor in a raceway with five other 12-AWG THW conductors and two 14-AWG grounding conductors is 15 amps. The ampacity of a conductor is determined by the National Electrical Code (NEC) which provides guidelines for safe electrical installations. In this case, the total number of conductors in the raceway is eight, and according to NEC Table 310.15(B)(16), a 14-AWG THW conductor can carry a maximum ampacity of 15 amps when installed in a raceway with similar conductors.