Prime p₀= 2623619749030808579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2623618863381116803	0 10 28 66 88 100 114 178 186 250 264 276 298 336 354 364	-885649691776
SPT(16)	2623618877712145069	0 42 72 124 138 154 208 234 298 324 378 394 408 460 490 532	-871318663510
STPT(10)	2623619051387410301	0 2 36 38 78 80 120 122 156 158	-697643398278
SPT(16)	2623619151304091663	0 20 24 38 98 104 128 176 198 246 270 276 336 350 354 374	-597726716916
SPT(16)	2623619155007583539	0 8 60 74 92 158 182 290 312 420 444 510 528 542 594 602	-594023225040
SPT(16)	2623619499892181653	0 36 88 90 136 148 154 246 328 420 426 438 484 486 538 574	-249138626926
SPT(16)	2623620058863194411	0 42 86 108 180 182 192 212 306 326 336 338 410 432 476 518	309832385832
STPT(10)	2623620676570850027	0 2 30 32 42 44 54 56 84 86	927540041448
SPT(16)	2623620945066929539	0 18 34 72 90 112 138 154 228 244 270 292 310 348 364 382	1196036120960
SPT(16)	2623621147592476363	0 10 36 54 70 76 120 126 148 154 198 204 220 238 264 274	1398561667784
SPT(16)	2623621359029569001	0 42 50 78 102 116 122 140 168 186 192 206 230 258 266 308	1609998760422