Prime p₀= 2437310167522364801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2437309206453324733	0 24 28 60 70 78 138 178 180 220 280 288 298 330 334 358	-961069040068
SPT(16)	2437309465746128339	0 62 72 98 150 192 210 240 260 290 308 350 402 428 438 500	-701776236462
TPT(14)	2437309560795914267	0 2 24 26 72 74 114 116 210 212 234 236 372 374	-606726450534
SPT(16)	2437309595667873931	0 42 46 58 60 72 78 120 148 190 196 208 210 222 226 268	-571854490870
SPT(16)	2437309709186235127	0 10 24 70 84 90 100 112 114 126 136 142 156 202 216 226	-458336129674
SPT(16)	2437309856666637079	0 18 64 112 130 178 208 220 222 234 264 312 330 378 424 442	-310855727722
STPT(10)	2437310604083776781	0 2 6 8 48 50 90 92 96 98	436561411980
SPT(16)	2437310943748940981	0 80 98 140 242 252 278 308 390 420 446 456 558 600 618 698	776226576180
TPT(14)	2437311264866233499	0 2 72 74 102 104 168 170 210 212 282 284 492 494	1097343868698
STPT(10)	2437311374904229001	0 2 6 8 48 50 90 92 96 98	1207381864200
SPT(16)	2437311736852645489	0 4 18 28 78 84 114 118 210 214 244 250 300 310 324 328	1569330280688