Prime p₀= 2770726859225364887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2770725972557886767	0 2 30 32 72 74 114 116 144 146	-886667478120
SPT(16)	2770726176386282497	0 12 42 60 70 96 136 154 162 180 220 246 256 274 304 316	-682839082390
TPT(14)	2770726239666677189	0 2 18 20 78 80 102 104 162 164 240 242 252 254	-619558687698
TPT(14)	2770726529470438811	0 2 18 20 96 98 156 158 198 200 270 272 318 320	-329754926076
SPT(16)	2770726553592002839	0 28 30 54 72 88 114 162 190 238 264 280 298 322 324 352	-305633362048
SPT(16)	2770726618520522633	0 54 86 90 114 140 156 174 230 248 264 290 314 318 350 404	-240704842254
SPT(16)	2770727243052211853	0 44 54 56 144 270 306 320 594 608 644 770 858 860 870 914	383826846966
SPT(18)	2770727480037330907	0 34 70 90 150 172 174 184 210 286 312 322 324 346 406 426 462 496	620811966020
SPT(16)	2770727526648766007	0 24 36 120 126 170 246 276 344 374 450 494 500 584 596 620	667423401120
STPT(10)	2770728399111284837	0 2 30 32 42 44 54 56 84 86	1539885919950
TPT(14)	2770728801961898597	0 2 42 44 54 56 72 74 84 86 120 122 210 212	1942736533710