Prime p₀= 2496799752287955617 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2496798881267870297	0 2 30 32 42 44 54 56 84 86	-871020085320
SPT(16)	2496799001182663633	0 4 40 66 84 106 126 148 186 208 228 250 268 294 330 334	-751105291984
STPT(10)	2496799133759927537	0 2 30 32 72 74 114 116 144 146	-618528028080
SPT(16)	2496799353774703697	0 2 30 62 80 84 90 96 140 146 152 156 174 206 234 236	-398513251920
SPT(16)	2496799599948916169	0 14 24 62 68 98 102 108 134 140 144 174 180 218 228 242	-152339039448
SPT(16)	2496799622807277313	0 10 36 70 78 94 120 136 138 154 180 196 204 238 264 274	-129480678304
SPT(16)	2496800088843147341	0 20 92 158 198 212 246 282 356 392 426 440 480 546 618 638	336555191724
SPT(16)	2496800154825805721	0 6 12 50 60 96 170 176 222 228 302 338 348 386 392 398	402537850104
SPT(16)	2496800346115076093	0 24 44 98 108 120 138 164 240 266 284 296 306 360 380 404	593827120476
STPT(10)	2496800372652871457	0 2 30 32 42 44 54 56 84 86	620364915840
SPT(16)	2496800487692038711	0 46 66 88 100 156 172 190 318 336 352 408 420 442 462 508	735404083094