Miami ? Long removed from their 0-7 start, the Miami Heat now seem unbeatable at home — which is why they’re headed for the second round of the NBA playoffs.

With the Heat running from the start and New Orleans guard Baron Davis hobbled by halftime, Miami extended its home winning streak to 16 games by beating the Hornets, 85-77, Tuesday night to clinch the first-round series, 4-3.

The home team won every game, and the Heat became the final team to reach round two — and the most improbable. They were 25-57 last season, 0-7 in November, 5-15 in December and 25-36 in March before staging a late-season surge.

“We have a lot to be proud of,” Lamar Odom said. “At 5-15 in the NBA, a lot of teams start to get ready for next year.”

Miami advanced to the Eastern Conference semifinals against the top-seeded Indiana, which has been idle since sweeping Boston on April 25.

“I’m not talking about Indiana tonight,” Heat coach Stan Van Gundy said with a grin. “That’s out. I’m enjoying this for at least three or four hours.”

Game 1 is Thursday in Indianapolis.

Smothering defense and a potent transition game gave a crowd of 20,286 — the largest in Heat history — plenty to cheer about.

Caron Butler led the winner-take-all victory with 23 points, and Rafer Alston made four free throws in the final 2:09 after the Hornets reduced a 16-point deficit to five. Miami finished with 18 fast-break points to five for New Orleans.

The injury-plagued Davis bruised his tailbone when he drew an offensive foul and took a tumble in the second quarter.

Kings 104, Timberwolves 98

Minneapolis — Mike Bibby had another big postseason performance with 33 points, Kevin Garnett was not up to his MVP standard, and Sacramento started the second round with an impressive win.

Sam Cassell scored 40 points for the Timberwolves, who have never been this far in the playoffs. But Garnett, who held up his MVP trophy in a pregame ceremony, had a quiet 16 points and 18 rebounds — plus six turnovers. Garnett went 1-for-8 in the second half.