Prime p₀= 4305808574247989447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Chooka
db: batch=85, k=10, 2 58 2 10 2

SPT(16)	4305807534545590637	0 50 72 92 120 132 144 156 200 212 224 236 264 284 306 356	-1039702398810
SPT(16)	4305807601573648447	0 46 76 132 222 252 280 366 466 552 580 610 700 756 786 832	-972674341000
STPT(10)	4305807649138873781	0 2 36 38 78 80 120 122 156 158	-925109115666
STPT(10)	4305807928485087767	0 2 30 32 42 44 54 56 84 86	-645762901680
SPT(18)	4305808320777677333	0 6 14 26 48 96 104 138 168 236 266 300 308 356 378 390 398 404	-253470312114
STPT(10)	4305808360516290491	0 2 78 80 108 110 138 140 216 218	-213731698956
STPT(10)	4305808653318061859	0 2 12 14 30 32 48 50 60 62	79070072412
SPT(16)	4305808926698398013	0 6 38 66 90 96 108 168 206 266 278 284 308 336 368 374	352450408566
SPT(16)	4305808971040386499	0 42 60 70 118 172 184 202 210 228 240 294 342 352 370 412	396792397052
STPT(10)	4305808999556237597	0 2 12 14 72 74 132 134 144 146	425308248150
SPT(16)	4305809141138870251	0 18 90 96 112 150 208 228 280 300 358 396 412 418 490 508	566890880804