Prime p₀= 2343756756535188737 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)	2343755040699588811	0 40 52 60 88 100 102 120 130 148 150 162 190 198 210 250	-1715835599926
SPT(16)	2343755114993590559	0 24 50 132 134 164 174 192 230 248 258 288 290 372 398 422	-1641541598178
STPT(10)	2343755286379453937	0 2 42 44 72 74 102 104 144 146	-1470155734800
STPT(10)	2343756345221522897	0 2 12 14 42 44 72 74 84 86	-411313665840
STPT(10)	2343756421000510331	0 2 6 8 48 50 90 92 96 98	-335534678406
SPT(16)	2343756553979794469	0 18 20 32 38 84 92 150 242 300 308 354 360 372 374 392	-202555394268
STPT(10)	2343757047251591339	0 2 18 20 30 32 42 44 60 62	290716402602
SPT(16)	2343757126367747807	0 2 6 44 54 80 90 114 122 146 156 182 192 230 234 236	369832559070
TPT(14)	2343757143260439539	0 2 48 50 78 80 90 92 150 152 162 164 180 182	386725250802
STPT(10)	2343757303011365567	0 2 30 32 42 44 54 56 84 86	546476176830
STPT(10)	2343757429755930821	0 2 6 8 48 50 90 92 96 98	673220742084