Prime p₀= 2313464450070459779 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: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2313463740286851041	0 2 36 38 180 182 240 242 246 248 360 362 378 380	-709783608738
STPT(10)	2313463883625161549	0 2 18 20 60 62 102 104 120 122	-566445298230
SPT(16)	2313464031867577471	0 18 28 72 78 130 186 208 270 292 348 400 406 450 460 478	-418202882308
SPT(16)	2313464128081590941	0 6 20 42 80 86 132 188 270 326 372 378 416 438 452 458	-321988868838
SPT(16)	2313464201059388513	0 6 14 80 104 120 126 146 198 218 224 240 264 330 338 344	-249011071266
SPT(16)	2313464277410791763	0 56 96 108 110 128 146 170 234 258 276 294 296 308 348 404	-172659668016
STPT(10)	2313464610137449367	0 2 30 32 42 44 54 56 84 86	160066989588
SPT(16)	2313464615777030159	0 54 80 98 110 120 132 138 164 170 182 192 204 222 248 302	165706570380
SPT(16)	2313464760439277689	0 58 114 142 150 168 180 234 268 322 334 352 360 388 444 502	310368817910
STPT(10)	2313464812478948657	0 2 60 62 72 74 84 86 144 146	362408488878
SPT(16)	2313464910324502241	0 20 42 48 98 138 140 206 282 348 350 390 440 446 468 488	460254042462