Prime p₀= 2066200453556975147 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: Cruncher Pete
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2066199823813587983	0 6 14 78 86 98 104 110 114 120 126 138 146 210 218 224	-629743387164
SPT(16)	2066199885173943971	0 6 62 210 212 222 236 240 242 246 260 270 272 420 476 482	-568383031176
STPT(10)	2066199959953604771	0 2 6 8 18 20 30 32 36 38	-493603370376
SPT(16)	2066200244380735691	0 26 30 60 86 98 140 170 186 216 258 270 296 326 330 356	-209176239456
SPT(16)	2066200304258020547	0 2 14 44 80 156 204 222 224 242 290 366 402 432 444 446	-149298954600
STPT(10)	2066200335595913717	0 2 54 56 72 74 90 92 144 146	-117961061430
SPT(16)	2066200580129403101	0 26 38 86 96 128 138 140 168 170 180 212 222 270 282 308	126572427954
TPT(14)	2066200774181159921	0 2 60 62 90 92 138 140 240 242 348 350 378 380	320624184774
STPT(10)	2066200862862527717	0 2 30 32 42 44 54 56 84 86	409305552570
SPT(16)	2066201530389157439	0 24 38 42 68 92 102 150 152 200 210 234 260 264 278 302	1076832182292
SPT(16)	2066201810017882963	0 6 34 60 66 84 90 96 208 214 220 238 244 270 298 304	1356460907816