Prime p₀= 1268523608687334887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1268523003633457421	0 2 78 80 90 92 108 110 150 152 168 170 180 182	-605053877466
STPT(12)	1268523003633457499	0 2 12 14 30 32 72 74 90 92 102 104	-605053877388
SPT(16)	1268523022828192063	0 10 18 148 154 174 184 214 594 624 634 654 660 790 798 808	-585859142824
SPT(16)	1268523044499204727	0 10 34 60 114 126 132 136 150 154 160 172 226 252 276 286	-564188130160
STPT(10)	1268523106064564771	0 2 36 38 78 80 120 122 156 158	-502622770116
TPT(14)	1268523132896652317	0 2 42 44 84 86 102 104 144 146 240 242 312 314	-475790682570
SPT(16)	1268523627700363691	0 2 20 30 68 138 150 152 228 230 242 312 350 360 378 380	19013028804
STPT(10)	1268523741192718247	0 2 30 32 42 44 54 56 84 86	132505383360
SPT(16)	1268523866990381857	0 16 30 64 66 76 126 142 204 220 270 280 282 316 330 346	258303046970
STPT(10)	1268524006457347007	0 2 30 32 42 44 54 56 84 86	397770012120
SPT(16)	1268524035887278297	0 12 54 100 114 162 180 204 232 256 274 322 336 382 424 436	427199943410