Prime p₀= 1286014214284956587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Cruncher Pete
db: batch=77, k=10, 2 52 2 76 2

SPT(16)	1286012738212041977	0 14 20 44 146 152 194 222 254 282 324 330 432 456 462 476	-1476072914610
SPT(16)	1286013105926386613	0 6 90 96 174 200 216 240 254 278 294 320 398 404 488 494	-1108358569974
STPT(10)	1286013165097356251	0 2 6 8 48 50 90 92 96 98	-1049187600336
STPT(10)	1286013260403170249	0 2 18 20 30 32 42 44 60 62	-953881786338
STPT(10)	1286013503679178361	0 2 6 8 48 50 90 92 96 98	-710605778226
SPT(16)	1286014037999491219	0 24 28 30 34 52 70 90 112 132 150 168 172 174 178 202	-176285465368
STPT(10)	1286014451618355869	0 2 48 50 90 92 132 134 180 182	237333399282
STPT(10)	1286014798347297839	0 2 18 20 30 32 42 44 60 62	584062341252
STPT(10)	1286015120300604521	0 2 36 38 78 80 120 122 156 158	906015647934
SPT(16)	1286015204306256493	0 24 34 40 60 130 144 150 154 160 174 244 264 270 280 304	990021299906
SPT(16)	1286015664167730971	0 18 26 48 56 68 102 168 170 236 270 282 290 312 320 338	1449882774384