Prime p₀= 2549518250030934797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2549517564398260007	0 6 14 44 54 102 110 140 156 186 194 242 252 282 290 296	-685632674790
SPT(16)	2549517609645062509	0 4 52 60 82 180 214 234 238 258 292 390 412 420 468 472	-640385872288
STPT(10)	2549517796568722949	0 2 12 14 30 32 48 50 60 62	-453462211848
TPT(14)	2549517818361204641	0 2 18 20 30 32 60 62 96 98 168 170 198 200	-431669730156
TPT(14)	2549517960290852519	0 2 42 44 78 80 90 92 138 140 150 152 222 224	-289740082278
SPT(16)	2549517981211901207	0 2 14 32 50 132 134 144 200 210 212 294 312 330 342 344	-268819033590
SPT(16)	2549518416359829773	0 48 50 56 66 78 110 140 174 204 236 248 258 264 266 314	166328894976
TPT(14)	2549519019049440167	0 2 42 44 72 74 114 116 162 164 174 176 252 254	769018505370
STPT(10)	2549519107228137311	0 2 36 38 78 80 120 122 156 158	857197202514
STPT(10)	2549519179900118549	0 2 12 14 30 32 48 50 60 62	929869183752
SPT(16)	2549519275966133227	0 4 82 94 102 172 180 280 336 436 444 514 522 534 612 616	1025935198430