Prime p₀= 2588617485507429557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2588616721816161319	0 28 30 72 90 148 162 184 258 280 294 352 370 412 414 442	-763691268238
SPT(16)	2588616846944718809	0 14 32 38 42 90 114 162 170 218 242 290 294 300 318 332	-638562710748
STPT(10)	2588616884665877477	0 2 24 26 42 44 60 62 84 86	-600841552080
SPT(16)	2588616919784042491	0 40 78 106 108 136 148 178 240 270 282 310 312 340 378 418	-565723387066
STPT(10)	2588617080623056631	0 2 36 38 78 80 120 122 156 158	-404884372926
STPT(10)	2588617313341147997	0 2 30 32 42 44 54 56 84 86	-172166281560
STPT(10)	2588617601624633609	0 2 18 20 30 32 42 44 60 62	116117204052
STPT(10)	2588617985817063251	0 2 6 8 18 20 30 32 36 38	500309633694
SPT(16)	2588618085931155881	0 78 80 126 128 150 186 210 326 350 386 408 410 456 458 536	600423726324
SPT(16)	2588618177158602541	0 96 102 138 156 210 250 252 406 408 448 502 520 556 562 658	691651172984
SPT(16)	2588618383746118511	0 36 78 120 128 132 162 188 240 266 296 300 308 350 392 428	898238688954