Prime p₀= 1117665824553540761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Fardringle
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1117664693726234903	0 14 44 86 96 116 144 146 168 170 198 218 228 270 300 314	-1130827305858
TPT(14)	1117665394418842427	0 2 42 44 90 92 114 116 240 242 264 266 294 296	-430134698334
SPT(16)	1117665419241128123	0 44 56 86 120 168 170 224 330 384 386 434 468 498 510 554	-405312412638
STPT(10)	1117665420617140859	0 2 48 50 60 62 72 74 120 122	-403936399902
TPT(14)	1117665702907723637	0 2 42 44 54 56 174 176 222 224 360 362 420 422	-121645817124
STPT(10)	1117665795599573159	0 2 42 44 60 62 78 80 120 122	-28953967602
STPT(10)	1117665847007072507	0 2 60 62 72 74 84 86 144 146	22453531746
SPT(16)	1117666069912416127	0 6 76 90 94 96 154 204 292 342 400 402 406 420 490 496	245358875366
SPT(16)	1117666127427666979	0 4 52 64 70 84 112 114 220 222 250 264 270 282 330 334	302874126218
TPT(14)	1117666228900848797	0 2 84 86 102 104 120 122 132 134 144 146 174 176	404347308036
TPT(14)	1117666411402883267	0 2 30 32 72 74 120 122 132 134 144 146 204 206	586849342506