Prime p₀= 2261623723818453749 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: raddoc
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2261622341114659703	0 6 20 66 74 78 138 140 354 356 416 420 428 474 488 494	-1382703794046
SPT(16)	2261622395109311111	0 12 20 26 72 78 86 96 122 132 140 146 192 198 206 218	-1328709142638
SPT(16)	2261622988012113301	0 6 10 42 66 72 88 148 240 300 316 322 346 378 382 388	-735806340448
STPT(12)	2261623237421553191	0 2 18 20 60 62 96 98 138 140 156 158	-486396900558
STPT(10)	2261623314344947667	0 2 72 74 102 104 132 134 204 206	-409473506082
SPT(16)	2261623372805087311	0 16 76 82 96 100 102 186 196 280 282 286 300 306 366 382	-351013366438
TPT(14)	2261623769504047061	0 2 78 80 120 122 126 128 180 182 240 242 330 332	45685593312
STPT(10)	2261624168871317111	0 2 36 38 78 80 120 122 156 158	445052863362
TPT(14)	2261624580732681161	0 2 90 92 96 98 186 188 228 230 270 272 336 338	856914227412
TPT(14)	2261624654294618021	0 2 48 50 138 140 168 170 258 260 276 278 288 290	930476164272
SPT(16)	2261624692522098037	0 30 36 52 54 102 150 184 192 226 274 322 324 340 346 376	968703644288