Prime p₀= 2556570789504104057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2556569217328113341	0 2 6 8 48 50 90 92 96 98	-1572175990716
SPT(16)	2556569220929117357	0 6 144 146 182 200 216 234 242 260 276 294 330 332 470 476	-1568574986700
SPT(16)	2556569488613920301	0 12 26 42 86 126 176 198 200 222 272 312 356 372 386 398	-1300890183756
STPT(10)	2556569584110456767	0 2 30 32 72 74 114 116 144 146	-1205393647290
SPT(16)	2556569844987143239	0 4 18 70 72 78 102 114 148 160 184 190 192 244 258 262	-944516960818
SPT(16)	2556570056048880643	0 46 48 70 144 154 156 178 336 358 360 370 444 466 468 514	-733455223414
STPT(10)	2556570882721566881	0 2 30 32 78 80 126 128 156 158	93217462824
SPT(16)	2556570921009105617	0 50 56 66 96 122 162 212 234 284 324 350 380 390 396 446	131505001560
STPT(10)	2556571159053930839	0 2 42 44 60 62 78 80 120 122	369549826782
STPT(10)	2556571605743502671	0 2 36 38 78 80 120 122 156 158	816239398614
TPT(14)	2556571873102874111	0 2 36 38 90 92 240 242 270 272 288 290 366 368	1083598770054