Prime p₀= 2500489339340263067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2500488710469866227	0 24 34 42 52 72 94 112 114 132 154 174 184 192 202 226	-628870396840
SPT(16)	2500488739329704369	0 2 42 68 80 102 108 120 200 212 218 240 252 278 318 320	-600010558698
STPT(10)	2500488972474621671	0 2 6 8 48 50 90 92 96 98	-366865641396
STPT(10)	2500489068950810291	0 2 6 8 48 50 90 92 96 98	-270389452776
SPT(16)	2500489150226804719	0 28 54 108 120 138 178 180 208 210 250 268 280 334 360 388	-189113458348
STPT(12)	2500489315452396641	0 2 6 8 48 50 198 200 240 242 246 248	-23887866426
STPT(10)	2500489705102965767	0 2 90 92 102 104 114 116 204 206	365762702700
SPT(16)	2500489743954718007	0 6 24 44 56 72 86 90 116 120 134 150 162 182 200 206	404614454940
SPT(16)	2500489804166021669	0 72 78 102 108 138 140 158 162 180 182 212 218 242 248 320	464825758602
SPT(20)	2500489834292657747	0 12 14 44 60 152 170 182 206 212 264 270 294 306 324 416 432 462 464 476	494952394680
SPT(16)	2500490415161243993	0 38 60 68 134 158 218 236 258 276 336 360 426 434 456 494	1075820980926