Prime p₀= 2534550459849125831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: Rantanplan
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2534549566460417867	0 6 30 74 84 102 116 174 182 240 254 272 282 326 350 356	-893388707964
STPT(10)	2534549722057165361	0 2 6 8 48 50 90 92 96 98	-737791960470
STPT(10)	2534549785144732679	0 2 42 44 60 62 78 80 120 122	-674704393152
SPT(16)	2534549831063379197	0 14 56 74 80 84 110 144 266 300 326 330 336 354 396 410	-628785746634
SPT(16)	2534550126619927487	0 14 26 44 54 80 92 96 110 114 126 152 162 180 192 206	-333229198344
SPT(16)	2534550220606824829	0 22 48 90 94 120 222 252 370 400 502 528 532 574 600 622	-239242301002
SPT(16)	2534550803438819941	0 10 48 100 178 220 240 286 360 406 426 468 546 598 636 646	343589694110
STPT(10)	2534550984383322557	0 2 30 32 120 122 210 212 240 242	524534196726
SPT(16)	2534551286870895239	0 2 24 38 114 128 140 192 230 282 294 308 384 398 420 422	827021769408
SPT(16)	2534551742740486429	0 24 52 90 112 120 154 234 328 408 442 450 472 510 538 562	1282891360598
STPT(10)	2534551761498324707	0 2 12 14 42 44 72 74 84 86	1301649198876