Prime p₀= 978972738336100559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 16 2 40 2

STPT(12)	978970474549063811	0 2 36 38 48 50 78 80 90 92 126 128	-2263787036748
STPT(10)	978970678493826869	0 2 12 14 90 92 168 170 180 182	-2059842273690
STPT(10)	978971278818062351	0 2 6 8 48 50 90 92 96 98	-1459518038208
SPT(16)	978972151329461153	0 14 50 90 104 116 120 186 218 284 288 300 314 354 390 404	-587006639406
STPT(10)	978972330082127999	0 2 48 50 60 62 72 74 120 122	-408253972560
STPT(10)	978972351365883569	0 2 30 32 60 62 90 92 120 122	-386970216990
SPT(16)	978972839315075719	0 10 30 58 64 148 160 174 178 192 204 288 294 322 342 352	100978975160
SPT(16)	978972903665194883	0 54 68 90 158 168 224 230 294 300 356 366 434 456 470 524	165329094324
STPT(10)	978973060165234481	0 2 6 8 48 50 90 92 96 98	321829133922
TPT(14)	978973449142218809	0 2 30 32 198 200 270 272 312 314 438 440 450 452	710806118250
STPT(10)	978973769522985989	0 2 18 20 30 32 42 44 60 62	1031186885430