Prime p₀= 2556461366842868909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Penguin
db: batch=82, k=10, 2 46 2 40 2

STPT(10)	2556458319902999177	0 2 12 14 42 44 72 74 84 86	-3046939869732
STPT(10)	2556459345865013759	0 2 42 44 60 62 78 80 120 122	-2020977855150
STPT(10)	2556459466345890401	0 2 6 8 18 20 30 32 36 38	-1900496978508
SPT(16)	2556459791351480359	0 42 64 78 118 120 132 148 204 220 232 234 274 288 310 352	-1575491388550
STPT(10)	2556460326656275691	0 2 36 38 78 80 120 122 156 158	-1040186593218
SPT(16)	2556460553639167859	0 78 92 132 182 188 248 290 360 402 462 468 518 558 572 650	-813203701050
SPT(16)	2556461375678716307	0 86 114 126 174 180 182 200 336 354 356 362 410 422 450 536	8835847398
STPT(10)	2556461396546086031	0 2 36 38 78 80 120 122 156 158	29703217122
SPT(16)	2556461719300404731	0 36 90 92 98 102 182 212 216 246 326 330 336 338 392 428	352457535822
SPT(16)	2556461819857048799	0 62 72 104 108 114 138 168 194 224 248 254 258 290 300 362	453014179890
SPT(16)	2556463086740945827	0 16 42 54 76 82 100 112 144 156 174 180 202 214 240 256	1719898076918