Prime p₀= 2570409001818789809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2570408033640414083	0 6 36 54 98 110 114 156 158 200 204 216 260 278 308 314	-968178375726
SPT(16)	2570408113385901779	0 78 102 138 170 174 188 222 260 294 308 312 344 380 404 482	-888432888030
SPT(16)	2570408147943877259	0 42 68 72 74 134 144 212 270 338 348 408 410 414 440 482	-853874912550
SPT(16)	2570408293530600283	0 10 24 40 54 88 190 280 288 378 480 514 528 544 558 568	-708288189526
STPT(10)	2570408540205175247	0 2 30 32 42 44 54 56 84 86	-461613614562
STPT(10)	2570408692560677387	0 2 12 14 42 44 72 74 84 86	-309258112422
SPT(16)	2570409194998483229	0 14 18 20 68 84 98 102 140 144 158 174 222 224 228 242	193179693420
STPT(10)	2570409667429776017	0 2 24 26 42 44 60 62 84 86	665610986208
SPT(16)	2570409921688065641	0 6 8 32 78 86 90 116 132 158 162 170 216 240 242 248	919869275832
SPT(16)	2570410018830426191	0 48 56 90 96 102 150 168 170 188 236 242 248 282 290 338	1017011636382
SPT(16)	2570410325448416741	0 6 50 98 120 138 140 170 306 336 338 356 378 426 470 476	1323629626932