Prime p₀= 2454999568773408857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2454997482699891287	0 2 30 32 72 74 114 116 144 146	-2086073517570
SPT(16)	2454997509078953681	0 8 56 90 96 122 168 182 216 230 276 302 308 342 390 398	-2059694455176
SPT(16)	2454997541311936009	0 28 34 54 60 70 82 100 102 120 132 142 148 168 174 202	-2027461472848
SPT(16)	2454997685487991067	0 12 20 42 50 86 110 120 146 156 180 216 224 246 254 266	-1883285417790
SPT(16)	2454998458281766843	0 54 78 88 90 124 144 208 210 274 294 328 330 340 364 418	-1110491642014
STPT(10)	2454999173048238569	0 2 18 20 30 32 42 44 60 62	-395725170288
SPT(16)	2455000207221969571	0 6 10 22 82 108 132 160 168 196 220 246 306 318 322 328	638448560714
STPT(10)	2455000721589557171	0 2 30 32 60 62 90 92 120 122	1152816148314
STPT(10)	2455001148667454087	0 2 30 32 42 44 54 56 84 86	1579894045230
TPT(14)	2455001197964763389	0 2 60 62 132 134 240 242 258 260 270 272 342 344	1629191354532
STPT(10)	2455001254750976717	0 2 30 32 60 62 90 92 120 122	1685977567860