Prime p₀= 2315590785717876419 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: Drago75
db: batch=81, k=10, 2 16 2 10 2

SPT(13)	2315588678507626789	0 42 60 102 192 222 252 282 312 402 444 462 504	-2107210249630
SPT(16)	2315588895955845847	0 12 72 96 214 256 276 306 310 340 360 402 520 544 604 616	-1889762030572
SPT(16)	2315589354538236941	0 2 48 62 86 90 128 146 162 180 218 222 246 260 306 308	-1431179639478
STPT(10)	2315589895795637519	0 2 42 44 60 62 78 80 120 122	-889922238900
SPT(16)	2315589958342096207	0 24 94 100 106 120 126 202 234 310 316 330 336 342 412 436	-827375780212
STPT(10)	2315590316182142339	0 2 18 20 30 32 42 44 60 62	-469535734080
SPT(18)	2315591353978022563	0 4 24 28 34 46 48 108 144 160 196 256 258 270 276 280 300 304	568260146144
SPT(16)	2315591575459655869	0 60 78 84 132 162 168 190 342 364 370 400 448 454 472 532	789741779450
STPT(10)	2315592636837323279	0 2 42 44 60 62 78 80 120 122	1851119446860
SPT(16)	2315592692656090273	0 40 96 130 180 184 186 196 294 304 306 310 360 394 450 490	1906938213854
SPT(16)	2315593071560246693	0 18 78 90 96 116 120 158 246 284 288 308 314 326 386 404	2285842370274