Tasmania 381 (Wakim 110, Jewell 87, Webster 62, Buckingham 7-71) and 84 for 3 beat South Australia 307 (Lehmann 115, Manenti 71) and 157 (McSweeney 48, Webster 4-32) by seven wickets
Webster took a career-best 4 for 32 as the home side folded for just 157 in their second innings at Adelaide’s Karen Rolton Oval on Thursday.
The meagre total left Tasmania needing 84 runs to win, achieved just after tea on day three.
SA posted 307 in their first innings and in reply Webster made 62 as the visitors compiled 381.
SA resumed in trouble on day three at 47 for 3, and any hope of setting the Tasmanians a challenging target vanished early.
Captain Jake Lehmann was soon out for 8, trapped lbw by paceman Gabe Bell. And a brief Jake Fraser-McGurk cameo of 29 from 20 balls ended when he shouldered arms to a Lawrence Neil-Smith ball, which slid off the bat-face to his stumps.
Webster, 29, once a potential AFL draftee from the Tassie Mariners who opted for cricket, soon captured the big wicket of Nathan McSweeney.
McSweeney had anchored SA’s innings, striking eight fours in making 48 from 97 balls, but edged to wicketkeeper Matthew Wade.
Webster’s impact heightened in the next over when, at second slip, he grasped a sharp catch, diving low and forward, to dismiss Harry Nielsen as Bell struck again.
Webster then mopped up the SA tail, taking the last three wickets for his best bowling figures in 72 first-class matches.
In the run chase, Tasmanian opener Caleb Jewell, after making 87 in the first dig, was trapped lbw for a second-ball duck by paceman Wes Agar.
First-innings centurion Charlie Wakim and ex-Redback Jake Weatherald both fell to SA quick Jordan Buckingham.
Captain Jordan Silk was unbeaten on 24 when the Tasmanians secured a comprehensive win to open their Shield campaign.