Prime p₀= 2556545970583257797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

TPT(14)	2556545339202976871	0 2 36 38 66 68 78 80 138 140 168 170 360 362	-631380280926
SPT(16)	2556545426400868541	0 2 8 42 78 132 162 182 198 218 248 302 338 372 378 380	-544182389256
SPT(16)	2556545427269233727	0 12 66 74 84 96 122 150 176 204 230 242 252 260 314 326	-543314024070
SPT(16)	2556545570250516473	0 24 30 68 80 98 158 198 236 276 336 354 366 404 410 434	-400332741324
STPT(10)	2556545590039352627	0 2 42 44 72 74 102 104 144 146	-380543905170
STPT(10)	2556545678763292031	0 2 6 8 48 50 90 92 96 98	-291819965766
SPT(16)	2556546057353418799	0 22 30 54 88 142 144 162 190 208 210 264 298 322 330 352	86770161002
SPT(16)	2556546138280773659	0 30 38 42 102 140 210 212 270 272 342 380 440 444 452 482	167697515862
SPT(16)	2556546459320711867	0 14 42 50 62 84 102 104 120 122 140 162 174 182 210 224	488737454070
SPT(16)	2556546584942635501	0 40 52 72 90 138 192 238 240 286 340 388 406 426 438 478	614359377704
STPT(10)	2556547174389569897	0 2 30 32 42 44 54 56 84 86	1203806312100