Prime p₀= 2343756345221522897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2343753623159208739	0 34 42 100 108 118 168 202 300 334 384 394 402 460 468 502	-2722062314158
SPT(16)	2343754030466241623	0 26 48 68 84 90 110 138 146 174 194 200 216 236 258 284	-2314755281274
STPT(10)	2343754313665864709	0 2 78 80 120 122 162 164 240 242	-2031555658188
SPT(16)	2343755040699588811	0 40 52 60 88 100 102 120 130 148 150 162 190 198 210 250	-1304521934086
SPT(16)	2343755114993590559	0 24 50 132 134 164 174 192 230 248 258 288 290 372 398 422	-1230227932338
STPT(10)	2343755286379453937	0 2 42 44 72 74 102 104 144 146	-1058842068960
STPT(10)	2343756421000510331	0 2 6 8 48 50 90 92 96 98	75778987434
SPT(16)	2343756553979794469	0 18 20 32 38 84 92 150 242 300 308 354 360 372 374 392	208758271572
STPT(10)	2343756756535188737	0 2 12 14 42 44 72 74 84 86	411313665840
STPT(10)	2343757047251591339	0 2 18 20 30 32 42 44 60 62	702030068442
SPT(16)	2343757126367747807	0 2 6 44 54 80 90 114 122 146 156 182 192 230 234 236	781146224910