Prime p₀= 2621678605561078541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2621677170461038057	0 36 60 64 90 142 174 222 274 322 354 406 432 436 460 496	-1435100040484
STPT(10)	2621677389069363017	0 2 30 32 42 44 54 56 84 86	-1216491715524
SPT(16)	2621677698380001649	0 22 42 48 70 72 168 174 358 364 460 462 484 490 510 532	-907181076892
STPT(10)	2621677972105158677	0 2 60 62 72 74 84 86 144 146	-633455919864
TPT(14)	2621678288737687469	0 2 12 14 78 80 108 110 168 170 222 224 252 254	-316823391072
STPT(10)	2621678568249229649	0 2 18 20 210 212 402 404 420 422	-37311848892
SPT(16)	2621678728532061019	0 24 40 64 70 82 90 94 108 112 120 132 138 162 178 202	122970982478
SPT(16)	2621678891633451161	0 2 12 30 68 80 96 122 156 182 198 210 248 266 276 278	286072372620
STPT(10)	2621678996514534497	0 2 30 32 72 74 114 116 144 146	390953455956
SPT(16)	2621679194838287791	0 12 28 58 82 88 102 130 138 166 180 186 210 240 256 268	589277209250
SPT(16)	2621679641484041881	0 42 190 208 226 228 298 306 322 330 400 402 420 438 586 628	1035922963340