Prime p₀= 2813239288209353747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 70 2

SPT(16)	2813237901883238413	0 30 34 48 58 70 100 148 216 264 294 306 316 330 334 364	-1386326115334
STPT(10)	2813237992048943279	0 2 18 20 30 32 42 44 60 62	-1296160410468
SPT(16)	2813238129601287251	0 12 26 30 146 168 182 188 240 246 260 282 398 402 416 428	-1158608066496
SPT(16)	2813238381601200209	0 42 48 258 264 308 312 324 338 350 354 398 404 614 620 662	-906608153538
STPT(10)	2813238794350604831	0 2 30 32 78 80 126 128 156 158	-493858748916
STPT(10)	2813239288208091497	0 2 30 32 42 44 54 56 84 86	-1262250
SPT(16)	2813239554458868679	0 28 42 48 78 100 102 114 118 130 132 154 184 190 204 232	266249514932
STPT(10)	2813239556235058859	0 2 18 20 30 32 42 44 60 62	268025705112
SPT(16)	2813239997131623629	0 8 20 98 108 122 128 140 162 174 180 194 204 282 294 302	708922269882
SPT(16)	2813240108375091827	0 12 26 32 50 54 56 66 110 120 122 126 144 150 164 176	820165738080
SPT(16)	2813240440950636239	0 14 30 60 72 90 98 102 140 144 152 170 182 212 228 242	1152741282492