Shaquille O'Neal has gotten the most double-doubles with 30+ points in a single NBA playoff run, with 13 double-doubles in 1999-00.

who has most 30 point double doubles in one playoff
Interpreted as:
Who has most 30 or more point double doubles in one playoff?
1999-00O'Neal2020-21Antetokounmpo1994-95Olajuwon1988-89Jordan2017-18James2014-15James2011-12James2001-02O'Neal1992-93Barkley2016-17James2004-05Stoudemire2000-01O'Neal1991-92Malone1986-87Bird2019-20James2002-03Nowitzki1993-94Olajuwon1993-94Malone1985-86Olajuwon1983-84Bird2013-14Durant2008-09James2006-07Boozer2005-06Duncan2005-06Nowitzki13121110888887777766666655555
NAMESEASONTMGPDD2PTSMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINREBASTSTLBLKTOVPF+/-
Shaquille O'NealShaquille O'Neal1999-00LALLAL131349044.737.716.82.80.83.12.315.625.860.40.00.06.514.145.95812183611403039+109
Giannis AntetokounmpoGiannis Antetokounmpo2020-21MILMIL131246840.336.012.54.50.81.43.414.123.859.20.93.824.06.911.261.65231635810184438+102
Hakeem OlajuwonHakeem Olajuwon1994-95HOUHOU161157943.536.211.14.71.23.02.915.327.755.10.10.350.05.67.772.46961787519484767
Michael JordanMichael Jordan1988-89CHICHI131050842.839.17.78.52.80.94.513.425.452.70.72.133.311.614.381.255710011037125848
LeBron JamesLeBron James2017-18CLECLE12849943.541.69.78.31.60.94.315.526.957.62.15.637.38.511.276.152211610019115129+34
LeBron JamesLeBron James2014-15CLECLE12842543.035.411.98.11.81.03.613.230.043.91.55.826.17.610.075.85161439721124331+50
LeBron JamesLeBron James2011-12MIAMIA13843442.633.411.04.81.80.93.311.822.552.21.13.530.48.811.576.05531436323124327+153
Shaquille O'NealShaquille O'Neal2001-02LALLAL8828742.135.913.12.60.52.53.612.922.656.90.00.010.115.067.5337105214202920+69
Charles BarkleyCharles Barkley1992-93PHXPHX8829744.337.114.44.92.11.61.812.320.061.30.51.050.012.114.882.23541153917131418
LeBron JamesLeBron James2016-17CLECLE14749841.235.68.77.61.91.13.312.922.457.82.96.644.66.89.571.457712210627154633+221
Amar'e StoudemireAmar'e Stoudemire2004-05PHXPHX11738941.535.412.01.00.72.03.012.322.454.90.00.20.010.813.579.9456132118223338+27
Shaquille O'NealShaquille O'Neal2000-01LALLAL7726243.437.416.63.90.32.13.315.125.459.60.00.07.113.951.5304116272152323+62
Karl MaloneKarl Malone1991-92UTAUTA9731544.435.010.92.61.40.83.011.120.354.60.00.20.012.815.085.240098231372732
Larry BirdLarry Bird1986-87BOSBOS11737646.634.210.06.91.11.02.511.722.751.60.71.938.110.010.892.45131107612112723
LeBron JamesLeBron James2019-20LALLAL8628136.635.110.48.81.41.13.613.320.863.93.46.850.05.37.570.029283701192913+75
Dirk NowitzkiDirk Nowitzki2002-03DALDAL6622246.237.012.71.71.51.22.212.821.260.62.33.860.99.09.891.52777610971321+50
Hakeem OlajuwonHakeem Olajuwon1993-94HOUHOU9632044.335.611.74.01.23.63.214.425.057.80.10.250.06.67.983.13991053611322934
Karl MaloneKarl Malone1993-94UTAUTA7622744.632.411.43.61.31.02.311.621.653.60.00.30.09.312.077.43128025971625
Hakeem OlajuwonHakeem Olajuwon1985-86HOUHOU8627540.634.412.42.32.54.51.612.823.055.40.00.08.913.565.7325991820361334
Larry BirdLarry Bird1983-84BOSBOS7623940.934.111.65.73.00.74.312.721.359.70.60.966.78.19.189.128681402153025
Kevin DurantKevin Durant2013-14OKCOKC11537744.934.39.84.41.11.63.911.723.749.42.57.134.68.410.083.64941084812184326+80
LeBron JamesLeBron James2008-09CLECLE9536142.240.19.67.41.70.93.113.024.852.51.95.832.712.215.479.138086671582821+76
Carlos BoozerCarlos Boozer2006-07UTAUTA5517342.434.613.23.81.00.43.013.221.860.60.00.08.210.677.42126619521516+4
Tim DuncanTim Duncan2005-06SASSAS5517444.734.813.04.41.02.62.812.822.656.60.00.40.09.213.269.722365225131419+12
Dirk NowitzkiDirk Nowitzki2005-06DALDAL8527644.434.510.33.30.80.41.511.121.452.01.64.040.610.612.088.53568226631224+69
StatMuse has game-level data for double-doubles going back to the 1983 playoffs.