Prime p₀= 2534551286870895239 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 22 14 76 14 12 52 38 52 12 14 76 14 22 2 (?)
a_n: 0 2 24 38 114 128 140 192 230 282 294 308 384 398 420 422
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
Found by: Rantanplan
db: batch=82, k=16, 2 22 14 76 14 12 52 38

SPT(16)	2534549831063379197	0 14 56 74 80 84 110 144 266 300 326 330 336 354 396 410	-1455807516042
SPT(16)	2534550126619927487	0 14 26 44 54 80 92 96 110 114 126 152 162 180 192 206	-1160250967752
SPT(16)	2534550220606824829	0 22 48 90 94 120 222 252 370 400 502 528 532 574 600 622	-1066264070410
STPT(10)	2534550459849125831	0 2 36 38 78 80 120 122 156 158	-827021769408
SPT(16)	2534550803438819941	0 10 48 100 178 220 240 286 360 406 426 468 546 598 636 646	-483432075298
STPT(10)	2534550984383322557	0 2 30 32 120 122 210 212 240 242	-302487572682
SPT(16)	2534551742740486429	0 24 52 90 112 120 154 234 328 408 442 450 472 510 538 562	455869591190
STPT(10)	2534551761498324707	0 2 12 14 42 44 72 74 84 86	474627429468
STPT(10)	2534552281845150839	0 2 18 20 30 32 42 44 60 62	994974255600
TPT(14)	2534552340056576459	0 2 12 14 48 50 72 74 90 92 198 200 300 302	1053185681220
SPT(16)	2534552752176858073	0 6 16 34 58 66 94 150 244 300 328 336 360 378 388 394	1465305962834