Prime p₀= 2113300090553573099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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=80, k=10, 2 10 2 76 2

SPT(16)	2113299376693054769	0 8 18 30 44 74 162 168 344 350 438 468 482 494 504 512	-713860518330
SPT(16)	2113299405216326869	0 22 42 54 90 112 114 282 292 460 462 484 520 532 552 574	-685337246230
STPT(10)	2113299557979992279	0 2 18 20 30 32 42 44 60 62	-532573580820
SPT(16)	2113299705000975709	0 10 12 54 88 102 108 138 154 184 190 204 238 280 282 292	-385552597390
SPT(16)	2113299893635484131	0 78 90 118 120 156 180 190 216 226 250 286 288 316 328 406	-196918088968
STPT(10)	2113300069877291591	0 2 6 8 18 20 30 32 36 38	-20676281508
SPT(16)	2113300118635860391	0 30 40 70 108 138 156 178 228 250 268 298 336 366 376 406	28082287292
STPT(10)	2113300493998281569	0 2 18 20 60 62 102 104 120 122	403444708470
SPT(16)	2113300747840577353	0 18 36 58 64 78 120 130 144 154 196 210 216 238 256 274	657287004254
SPT(16)	2113300928681854237	0 36 46 72 76 82 102 112 174 184 204 210 214 240 250 286	838128281138
SPT(18)	2113301126803788011	0 6 32 116 126 156 168 186 192 206 212 230 242 272 282 366 392 398	1036250214912