Prime p₀= 2782912682387608019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2782911376322912203	0 18 28 36 48 106 120 196 210 286 300 358 370 378 388 406	-1306064695816
STPT(10)	2782911767206777901	0 2 36 38 78 80 120 122 156 158	-915180830118
STPT(10)	2782912273275364211	0 2 36 38 78 80 120 122 156 158	-409112243808
STPT(10)	2782912322620505861	0 2 30 32 60 62 90 92 120 122	-359767102158
STPT(10)	2782912597408868927	0 2 30 32 72 74 114 116 144 146	-84978739092
SPT(20)	2782912613234461259	0 14 18 60 74 80 114 158 180 192 230 242 264 308 342 348 362 404 408 422	-69153146760
SPT(16)	2782912774531803691	0 40 82 142 148 180 226 238 240 252 298 330 336 396 438 478	92144195672
STPT(10)	2782912837042280207	0 2 42 44 72 74 102 104 144 146	154654672188
SPT(16)	2782913466892806799	0 4 12 58 82 114 142 168 184 210 238 270 294 340 348 352	784505198780
STPT(10)	2782914156616762451	0 2 6 8 48 50 90 92 96 98	1474229154432
SPT(16)	2782914484869395179	0 10 18 30 52 114 168 184 288 304 358 420 442 454 462 472	1802481787160