Prime p₀= 2168489662297274579 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: Roadranner
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2168487143135080109	0 12 14 42 68 80 90 104 108 122 132 144 170 198 200 212	-2519162194470
SPT(16)	2168487647111753783	0 50 56 84 98 104 144 156 158 170 210 216 230 258 264 314	-2015185520796
SPT(16)	2168488182781399481	0 2 56 140 162 188 192 216 242 266 270 296 318 402 456 458	-1479515875098
SPT(16)	2168489128028158553	0 8 18 24 74 78 90 104 120 134 146 150 200 206 216 224	-534269116026
SPT(16)	2168489250483329633	0 38 44 156 158 228 230 248 276 294 296 366 368 480 486 524	-411813944946
SPT(13)	2168489547320725381	0 36 42 90 96 120 126 132 156 162 210 216 252	-114976549198
SPT(16)	2168489835245491577	0 24 92 150 156 200 204 242 294 332 336 380 386 444 512 536	172948216998
STPT(10)	2168489921165554331	0 2 36 38 78 80 120 122 156 158	258868279752
STPT(10)	2168490173691137501	0 2 6 8 18 20 30 32 36 38	511393862922
STPT(10)	2168490211608195659	0 2 18 20 30 32 42 44 60 62	549310921080
TPT(14)	2168490233745684557	0 2 90 92 120 122 132 134 294 296 300 302 354 356	571448409978