Prime p₀= 2379162961830965369 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 2 28 62 30 12 4 14 66 4 42 14 42 4 66 14 4 12 30 62 28 2 (?)
a_n: 0 2 30 92 122 134 138 152 218 222 264 278 320 324 390 404 408 420 450 512 540 542
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 542
Found by: Landjunge
db: batch=81, k=22, 2 28 62 30 12 4 14 66 4 42 14

SPT(16)	2379161405667925891	0 18 70 78 90 102 112 132 328 348 358 370 382 390 442 460	-1556163039478
STPT(10)	2379161456815091951	0 2 30 32 60 62 90 92 120 122	-1505015873418
SPT(16)	2379161540739549641	0 8 32 36 50 66 80 108 110 138 152 168 182 186 210 218	-1421091415728
STPT(10)	2379162015301649861	0 2 6 8 48 50 90 92 96 98	-946529315508
STPT(10)	2379162262564006559	0 2 48 50 90 92 132 134 180 182	-699266958810
SPT(16)	2379162526223089091	0 2 30 56 62 122 158 182 216 240 276 336 342 368 396 398	-435607876278
SPT(16)	2379163014912370133	0 14 24 38 68 96 98 144 230 276 278 306 336 350 360 374	53081404764
SPT(16)	2379163238278895171	0 8 26 78 96 122 140 176 192 228 246 272 290 342 360 368	276447929802
SPT(16)	2379163355056504637	0 14 20 54 56 62 74 96 110 132 144 150 152 186 192 206	393225539268
SPT(16)	2379163380737680357	0 60 72 100 106 130 132 142 174 184 186 210 216 244 256 316	418906714988
STPT(12)	2379163525040970917	0 2 12 14 30 32 42 44 60 62 72 74	563210005548