Prime p₀= 2279084178467536439 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: Time_Traveler
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2279082852930212377	0 24 34 54 66 90 136 166 180 210 256 280 292 312 322 346	-1325537324062
STPT(10)	2279083246243906481	0 2 36 38 78 80 120 122 156 158	-932223629958
SPT(16)	2279083315989688471	0 16 58 132 168 172 202 252 256 306 336 340 376 450 492 508	-862477847968
STPT(10)	2279083519220120441	0 2 6 8 48 50 90 92 96 98	-659247415998
STPT(10)	2279083703286012521	0 2 96 98 108 110 120 122 216 218	-475181523918
SPT(16)	2279083945599410779	0 12 30 58 78 82 148 162 250 264 330 334 354 382 400 412	-232868125660
STPT(10)	2279084436460147451	0 2 36 38 78 80 120 122 156 158	257992611012
STPT(10)	2279085279395890289	0 2 42 44 60 62 78 80 120 122	1100928353850
SPT(16)	2279085570572652529	0 30 52 72 84 94 108 130 132 154 168 178 190 210 232 262	1392105116090
SPT(16)	2279085677546515241	0 48 50 126 176 186 188 230 288 330 332 342 392 468 470 518	1499078978802
STPT(10)	2279085904216738817	0 2 54 56 72 74 90 92 144 146	1725749202378