Prime p₀= 819993567342433739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: suriv
db: batch=73, k=10, 2 10 2 76 2

STPT(10)	819992046254710949	0 2 42 44 90 92 138 140 180 182	-1521087722790
SPT(16)	819992625108697813	0 24 126 156 166 180 196 234 310 348 364 378 388 418 520 544	-942233735926
SPT(16)	819992902862587369	0 12 28 42 60 108 112 130 222 240 244 292 310 324 340 352	-664479846370
STPT(10)	819993032640012401	0 2 30 32 78 80 126 128 156 158	-534702421338
STPT(10)	819993246995223407	0 2 12 14 42 44 72 74 84 86	-320347210332
TPT(14)	819993387211805069	0 2 30 32 48 50 90 92 168 170 222 224 240 242	-180130628670
STPT(10)	819993854133272081	0 2 6 8 48 50 90 92 96 98	286790838342
SPT(16)	819993902873379763	0 88 106 126 148 156 184 196 258 270 298 306 328 348 366 454	335530946024
STPT(10)	819994204924056047	0 2 30 32 42 44 54 56 84 86	637581622308
STPT(10)	819994400411527037	0 2 12 14 72 74 132 134 144 146	833069093298
STPT(10)	819994866525925511	0 2 36 38 78 80 120 122 156 158	1299183491772