Prime p₀= 2113300069877291591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

STPT(10)	2113299359123856689	0 2 42 44 60 62 78 80 120 122	-710753434902
SPT(16)	2113299376693054769	0 8 18 30 44 74 162 168 344 350 438 468 482 494 504 512	-693184236822
SPT(16)	2113299405216326869	0 22 42 54 90 112 114 282 292 460 462 484 520 532 552 574	-664660964722
STPT(10)	2113299557979992279	0 2 18 20 30 32 42 44 60 62	-511897299312
SPT(16)	2113299705000975709	0 10 12 54 88 102 108 138 154 184 190 204 238 280 282 292	-364876315882
SPT(16)	2113299893635484131	0 78 90 118 120 156 180 190 216 226 250 286 288 316 328 406	-176241807460
STPT(10)	2113300090553573099	0 2 12 14 90 92 168 170 180 182	20676281508
SPT(16)	2113300118635860391	0 30 40 70 108 138 156 178 228 250 268 298 336 366 376 406	48758568800
STPT(10)	2113300493998281569	0 2 18 20 60 62 102 104 120 122	424120989978
SPT(16)	2113300747840577353	0 18 36 58 64 78 120 130 144 154 196 210 216 238 256 274	677963285762
SPT(16)	2113300928681854237	0 36 46 72 76 82 102 112 174 184 204 210 214 240 250 286	858804562646