Prime p₀= 2637361141808737361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Dirk Broer
db: batch=82, k=10, 2 76 2 28 2

STPT(10)	2637359120604582971	0 2 36 38 78 80 120 122 156 158	-2021204154390
SPT(16)	2637359336070506767	0 40 52 96 114 132 154 180 256 282 304 322 340 384 396 436	-1805738230594
TPT(14)	2637359461030908617	0 2 42 44 132 134 150 152 174 176 222 224 234 236	-1680777828744
SPT(16)	2637360387958713317	0 26 42 66 90 134 164 200 336 372 402 446 470 494 510 536	-753850024044
TPT(14)	2637360665227746971	0 2 6 8 30 32 36 38 60 62 120 122 186 188	-476580990390
STPT(10)	2637360997750256507	0 2 30 32 72 74 114 116 144 146	-144058480854
STPT(10)	2637361237197617129	0 2 42 44 90 92 138 140 180 182	95388879768
TPT(14)	2637361252557377681	0 2 18 20 60 62 126 128 228 230 306 308 348 350	110748640320
SPT(16)	2637361284605538137	0 12 36 44 50 96 114 182 204 272 290 336 342 350 374 386	142796800776
SPT(16)	2637361483633186109	0 24 60 72 78 92 98 108 134 144 150 164 170 182 218 242	341824448748
TPT(14)	2637361529415179261	0 2 48 50 156 158 186 188 198 200 210 212 270 272	387606441900