Prime p₀= 2577974770586144261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 40 2 40 2 94 2 (?)
a_n: 0 2 96 98 138 140 180 182 276 278
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: 278
Found by: Penguin
db: batch=82, k=10, 2 94 2 40 2

SPT(16)	2577973931087230387	0 4 12 34 46 96 130 162 214 246 280 330 342 364 372 376	-839498913874
SPT(16)	2577973950505549753	0 34 66 70 78 148 150 174 310 334 336 406 414 418 450 484	-820080594508
STPT(10)	2577974022673692257	0 2 24 26 42 44 60 62 84 86	-747912452004
STPT(10)	2577974070386370881	0 2 36 38 78 80 120 122 156 158	-700199773380
SPT(16)	2577974242314043057	0 72 90 132 286 304 310 352 354 396 402 420 574 616 634 706	-528272101204
SPT(16)	2577974613161095529	0 20 24 38 54 90 98 174 254 330 338 374 390 404 408 428	-157425048732
SPT(16)	2577974921764761119	0 18 54 90 110 122 144 164 168 188 210 222 242 278 314 332	151178616858
STPT(10)	2577975123397834211	0 2 6 8 18 20 30 32 36 38	352811689950
TPT(14)	2577975419855608037	0 2 24 26 102 104 144 146 210 212 354 356 444 446	649269463776
SPT(16)	2577975449478973343	0 66 74 104 144 150 158 204 230 276 284 290 330 360 368 434	678892829082
TPT(14)	2577976080329526341	0 2 126 128 180 182 210 212 216 218 306 308 318 320	1309743382080