Fangs of Fire Snake + Tavern Brawler?

if you use fangs of the fire snake it increases your unarmed attack by 10 feet (presumably to 15ft) "When you use the Attack action on your turn, you can spend 1 ki point to cause tendrils of flame to stretch out from your fists and feet. Your reach with your unarmed strikes increases by 10 feet for that action, as well as the rest of the turn" if you used the tavern brawler feat "When you hit a creature with an unarmed strike or improvised weapon on your turn, you can use a bonus action to attempt to grapple the target." does that mean you can grapple someone from 15 ft away using a bonus action? could you move toward them at a regular pace?