Prime p₀= 2101307303670035579 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: Time_Traveler
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2101306695822431297	0 2 30 32 72 74 114 116 144 146	-607847604282
STPT(10)	2101306748022211979	0 2 18 20 30 32 42 44 60 62	-555647823600
SPT(16)	2101306801905195691	0 48 136 148 160 162 178 226 252 300 316 318 330 342 430 478	-501764839888
SPT(16)	2101306826063602489	0 12 34 40 150 192 202 244 258 300 310 352 462 468 490 502	-477606433090
TPT(14)	2101306990848627137	0 2 90 92 102 104 120 122 162 164 174 176 330 332	-312821408442
SPT(16)	2101307053682558209	0 28 70 94 108 112 130 138 334 342 360 364 378 402 444 472	-249987477370
STPT(10)	2101307324298634337	0 2 54 56 72 74 90 92 144 146	20628598758
STPT(10)	2101307457237164081	0 2 6 8 48 50 90 92 96 98	153567128502
SPT(16)	2101308106412586353	0 6 116 126 140 150 188 218 258 288 326 336 350 360 470 476	802742550774
TPT(14)	2101308499046784059	0 2 30 32 90 92 258 260 282 284 390 392 510 512	1195376748480
SPT(16)	2101308504952312477	0 30 54 142 222 232 264 282 412 430 462 472 552 640 664 694	1201282276898