Prime p₀= 2365008130617024437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: herby44
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2365007416479650941	0 6 36 40 76 192 208 238 300 330 346 462 498 502 532 538	-714137373496
STPT(10)	2365007569925852177	0 2 42 44 72 74 102 104 144 146	-560691172260
SPT(16)	2365007786569656281	0 36 62 86 128 182 198 210 308 320 336 390 432 456 482 518	-344047368156
STPT(10)	2365007998772647367	0 2 12 14 42 44 72 74 84 86	-131844377070
SPT(16)	2365008058235931659	0 18 20 48 90 134 140 150 158 168 174 218 260 288 290 308	-72381092778
SPT(16)	2365008117412423729	0 10 28 78 108 114 120 124 138 142 148 154 184 234 252 262	-13204600708
SPT(16)	2365008524195260847	0 2 44 54 72 80 96 102 134 140 156 164 182 192 234 236	393578236410
SPT(16)	2365008630448995451	0 22 30 46 60 88 126 162 166 202 240 268 282 298 306 328	499831971014
STPT(10)	2365008680888615129	0 2 18 20 30 32 42 44 60 62	550271590692
STPT(10)	2365008899352116909	0 2 12 14 90 92 168 170 180 182	768735092472
SPT(16)	2365008936712762429	0 24 52 64 102 118 150 154 168 172 204 220 258 270 298 322	806095737992