Prime p₀= 2461426644786370757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2461425760780313597	0 2 30 32 114 116 132 134 174 176 210 212 264 266	-884006057160
STPT(10)	2461426171583318741	0 2 6 8 48 50 90 92 96 98	-473203052016
SPT(16)	2461426259372306081	0 8 18 36 42 78 98 102 146 150 170 206 212 230 240 248	-385414064676
SPT(16)	2461426337885983397	0 2 54 122 152 174 222 230 234 242 290 312 342 410 462 464	-306900387360
STPT(10)	2461426427251129319	0 2 42 44 60 62 78 80 120 122	-217535241438
SPT(16)	2461426503738808631	0 2 42 50 60 68 72 90 98 116 120 128 138 146 186 188	-141047562126
SPT(16)	2461426720788240979	0 4 22 30 48 184 202 204 208 210 228 364 382 390 408 412	76001870222
STPT(10)	2461427003723432747	0 2 30 32 60 62 90 92 120 122	358937061990
STPT(10)	2461427224354398371	0 2 30 32 78 80 126 128 156 158	579568027614
STPT(10)	2461427343542021357	0 2 24 26 42 44 60 62 84 86	698755650600
SPT(16)	2461427345802413291	0 42 102 146 158 198 210 216 242 248 260 300 312 356 416 458	701016042534