Prime p₀= 2950508682650172599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Landjunge
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2950507380740438549	0 32 42 62 90 92 120 128 162 170 198 200 228 248 258 290	-1301909734050
STPT(10)	2950507474326200021	0 2 30 32 78 80 126 128 156 158	-1208323972578
STPT(12)	2950507479283660607	0 2 24 26 54 56 120 122 150 152 174 176	-1203366511992
TPT(14)	2950508156335159967	0 2 72 74 180 182 252 254 264 266 294 296 360 362	-526315012632
STPT(10)	2950508262981821207	0 2 12 14 42 44 72 74 84 86	-419668351392
SPT(16)	2950508453104799723	0 14 26 56 78 96 110 134 180 204 218 236 258 288 300 314	-229545372876
TPT(14)	2950509295854602861	0 2 30 32 78 80 96 98 120 122 150 152 156 158	613204430262
SPT(16)	2950509392378596991	0 20 50 56 96 126 138 140 426 428 440 470 510 516 546 566	709728424392
STPT(10)	2950509466141521239	0 2 42 44 90 92 138 140 180 182	783491348640
SPT(16)	2950509535495329617	0 12 20 42 56 84 132 134 192 194 242 270 284 306 314 326	852845157018
STPT(10)	2950510302931731641	0 2 6 8 48 50 90 92 96 98	1620281559042