Prime p₀= 4305560217896735009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Chooka
db: batch=85, k=10, 2 40 2 16 2

SPT(16)	4305559303260319801	0 22 78 82 120 138 190 222 256 288 340 358 396 400 456 478	-914636415208
TPT(14)	4305559340065746197	0 2 54 56 84 86 180 182 264 266 282 284 360 362	-877830988812
SPT(16)	4305559453006186489	0 10 24 112 160 178 184 318 364 498 504 522 570 658 672 682	-764890548520
STPT(10)	4305559976365383599	0 2 42 44 90 92 138 140 180 182	-241531351410
STPT(10)	4305560140399611419	0 2 18 20 30 32 42 44 60 62	-77497123590
STPT(10)	4305560180115220721	0 2 30 32 60 62 90 92 120 122	-37781514288
SPT(16)	4305560706825320791	0 52 66 72 76 112 118 120 268 270 276 312 316 322 336 388	488928585782
STPT(12)	4305561608128409729	0 2 18 20 90 92 168 170 240 242 258 260	1390231674720
SPT(18)	4305562091384980879	0 4 10 40 70 82 124 154 208 264 318 348 390 402 432 462 468 472	1873488245870
STPT(10)	4305562364004551261	0 2 66 68 108 110 150 152 216 218	2146107816252
STPT(10)	4305562496979009191	0 2 78 80 168 170 258 260 336 338	2279082274182