Prime p₀= 2117735013574673327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 58 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 162 164 204 206
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: Ben
db: batch=80, k=10, 2 40 2 58 2

SPT(16)	2117733060328892191	0 22 30 66 76 108 162 168 190 196 250 282 292 328 336 358	-1953245781136
STPT(10)	2117733199925520167	0 2 12 14 72 74 132 134 144 146	-1813649153160
STPT(10)	2117733381110338877	0 2 54 56 72 74 90 92 144 146	-1632464334450
STPT(10)	2117733458737747811	0 2 36 38 78 80 120 122 156 158	-1554836925516
TPT(14)	2117734036992483821	0 2 18 20 30 32 36 38 168 170 216 218 240 242	-976582189506
STPT(10)	2117734593396296141	0 2 36 38 78 80 120 122 156 158	-420178377186
STPT(10)	2117735650267457201	0 2 36 38 78 80 120 122 156 158	636692783874
STPT(10)	2117735949947046431	0 2 30 32 60 62 90 92 120 122	936372373104
SPT(16)	2117735983102987501	0 18 28 30 42 48 90 108 112 130 172 178 190 192 202 220	969528314174
SPT(16)	2117736004976327291	0 30 78 92 108 132 216 230 408 422 506 530 546 560 608 638	991401653964
SPT(16)	2117736393161795243	0 68 80 90 110 126 138 230 294 386 398 414 434 444 456 524	1379587121916