Google Map to measure distance from postcode

If you take a look at the screenshot attached I'll explain what it is I'm after... So on the left hand side you'll have a google map and there will be a number of pins on the map, these pins will relate to the venues on the right (Chelsea, Covent Garden, Soho etc). On the right hand side will be a text field where you can input a postcode and below this a list of all the venues, once you input a postcode and hit 'Search by Distance' it'll then add the distance next to each venue (where it currently says 'xx miles') giving you the distance from your inputted postcode to each venue in the list on the right. Hopefully all that makes sense but any questions you have please ask as I need this job doing within the next 12 hours ideally.