Prime p₀= 1268562484143211247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	1268560061357525609	0 8 30 54 110 134 170 210 212 252 288 312 368 392 414 422	-2422785685638
SPT(16)	1268560162557754793	0 20 38 84 90 158 180 206 258 284 306 374 380 426 444 464	-2321585456454
SPT(16)	1268560630303039309	0 4 22 54 70 82 84 118 264 298 300 312 328 360 378 382	-1853840171938
STPT(10)	1268560852971250721	0 2 36 38 78 80 120 122 156 158	-1631171960526
SPT(16)	1268561142788504911	0 10 12 48 106 126 132 150 178 196 202 222 280 316 318 328	-1341354706336
STPT(12)	1268561767131720989	0 2 12 14 30 32 72 74 90 92 102 104	-717011490258
SPT(16)	1268562542688574823	0 26 54 104 128 180 204 216 218 230 254 306 330 380 408 434	58545363576
SPT(16)	1268562910192947847	0 30 66 90 102 136 150 162 184 196 210 244 256 280 316 346	426049736600
STPT(10)	1268562978567064001	0 2 6 8 48 50 90 92 96 98	494423852754
STPT(10)	1268563087322100539	0 2 12 14 30 32 48 50 60 62	603178889292
SPT(16)	1268563368305856281	0 8 60 86 98 102 116 128 150 162 176 180 192 218 270 278	884162645034