Light Transport; Low Wing; 2 Turbojet Eng
Flight Crew Multiengine; Flight Crew Flight Instructor; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Flight Crew Last 90 Days 101; Flight Crew Total 5300; Flight Crew Type 300
Confusion; Situational Awareness
Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Inflight Event / Encounter Weather / Turbulence
Flight Crew Executed Go Around / Missed Approach; Flight Crew Became Reoriented; Flight Crew Exited Penetrated Airspace; Flight Crew Took Evasive Action
Weather; Chart Or Publication; Environment - Non Weather Related
We were on approach to DTS for the GPS 14 approach in light rain. The weather was changing at DTS due to the fact there was a thunderstorm just to the south and west of DTS. We saw VPS and thought it was DTS so we told [the] Controller we had a visual and began to maneuver for landing; we descended to approximately 500 to 600 AGL when we noticed the crossing runway and saw runway numbers of 12 Not 14. So we went around and continued to DTS. We saw DTS when approximately 1 to 2 mile past VPS.  I think it would enhance safety to add a note on the planned view GPS 14 to DTS regarding the fact that you cross over VPS and in low Visibility it can be mistaken for DTS due similar runways; i.e. Runway 12 versus Runway 14.
[Narrative #2 contains no additional information]
An air taxi crew executed a go-around while on final to VPS Runway 12 in light rain with four miles visibility after realizing that they were not on final approach for DTS GPS Runway 14 about six miles beyond VPS.