Prime p₀= 2256800147722579577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2256797977290528389	0 2 12 14 90 92 168 170 180 182	-2170432051188
STPT(10)	2256798334106238617	0 2 30 32 60 62 90 92 120 122	-1813616340960
SPT(16)	2256798527142420043	0 28 30 70 90 138 150 208 228 286 298 346 366 406 408 436	-1620580159534
SPT(16)	2256799064292102059	0 14 20 38 120 132 170 198 224 252 290 302 384 402 408 422	-1083430477518
STPT(10)	2256799078739459039	0 2 42 44 60 62 78 80 120 122	-1068983120538
SPT(16)	2256799294061258623	0 54 94 108 118 130 180 190 234 244 294 306 316 330 370 424	-853661320954
STPT(10)	2256800150620577447	0 2 30 32 72 74 114 116 144 146	2897997870
STPT(10)	2256800894415452921	0 2 6 8 48 50 90 92 96 98	746692873344
STPT(10)	2256801187995321167	0 2 30 32 72 74 114 116 144 146	1040272741590
SPT(16)	2256801272691835099	0 40 60 88 132 142 192 208 312 328 378 388 432 460 480 520	1124969255522
SPT(16)	2256801285416944411	0 88 90 136 190 292 340 358 360 378 426 528 582 628 630 718	1137694364834