Prime p₀= 2610414614932853537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2610412572645552053	0 8 30 36 38 98 170 176 228 234 306 366 368 374 396 404	-2042287301484
SPT(16)	2610412735621635731	0 42 80 248 252 260 278 330 350 402 420 428 432 600 638 680	-1879311217806
SPT(16)	2610412913797739129	0 2 8 30 48 104 120 134 288 302 318 374 392 414 420 422	-1701135114408
SPT(16)	2610413607061451777	0 24 62 66 84 92 122 152 174 204 234 242 260 264 302 326	-1007871401760
SPT(16)	2610413774111190847	0 10 42 90 114 156 220 274 282 336 400 442 466 514 546 556	-840821662690
STPT(10)	2610414479556624701	0 2 36 38 78 80 120 122 156 158	-135376228836
SPT(16)	2610414670688559989	0 38 48 74 128 134 150 158 174 182 198 204 258 284 294 332	55755706452
STPT(10)	2610414922831528649	0 2 48 50 90 92 132 134 180 182	307898675112
TPT(14)	2610415134513072239	0 2 90 92 108 110 132 134 168 170 192 194 300 302	519580218702
SPT(16)	2610415167106970239	0 18 42 52 142 150 240 288 304 352 442 450 540 550 574 592	552174116702
SPT(16)	2610415532089845691	0 28 40 52 66 82 100 102 136 138 156 172 186 198 210 238	917156992154