Prime p₀= 808174121325661001 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: [SG]FX
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	808172221863584849	0 12 42 84 104 110 200 218 234 252 342 348 368 410 440 452	-1899462076152
SPT(16)	808172270187294307	0 22 40 52 54 192 214 232 252 270 292 430 432 444 462 484	-1851138366694
SPT(16)	808172812014170591	0 6 36 50 72 80 86 92 120 126 132 140 162 176 206 212	-1309311490410
STPT(10)	808173092221074491	0 2 6 8 18 20 30 32 36 38	-1029104586510
STPT(10)	808173682474287131	0 2 36 38 78 80 120 122 156 158	-438851373870
SPT(16)	808173934878826727	0 12 60 72 80 122 180 182 222 224 282 324 332 344 392 404	-186446834274
SPT(16)	808174308280374337	0 22 42 52 70 82 96 144 172 220 234 246 264 274 294 316	186954713336
STPT(10)	808174636907440631	0 2 6 8 48 50 90 92 96 98	515581779630
SPT(16)	808174785273959507	0 32 50 60 92 150 180 186 200 206 236 294 326 336 354 386	663948298506
STPT(10)	808175169440219699	0 2 18 20 30 32 42 44 60 62	1048114558698
SPT(16)	808175930125090601	0 2 18 62 110 138 158 180 218 240 260 288 336 380 396 398	1808799429600