Prime p₀= 2263370260369056659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2263367810734104281	0 6 20 86 110 168 176 210 308 342 350 408 432 498 512 518	-2449634952378
SPT(16)	2263368480925896037	0 36 42 72 102 124 130 172 264 306 312 334 364 394 400 436	-1779443160622
TPT(14)	2263368636239791109	0 2 30 32 42 44 72 74 78 80 120 122 282 284	-1624129265550
STPT(10)	2263369180061002841	0 2 36 38 78 80 120 122 156 158	-1080308053818
SPT(16)	2263369389807924533	0 20 116 126 144 156 204 234 266 296 344 356 374 384 480 500	-870561132126
SPT(16)	2263369669471328357	0 14 36 44 56 60 66 92 114 140 146 150 162 170 192 206	-590897728302
TPT(14)	2263370396264453891	0 2 126 128 156 158 186 188 198 200 216 218 240 242	135895397232
SPT(16)	2263370601571632379	0 82 114 190 204 208 220 222 280 282 294 298 312 388 420 502	341202575720
SPT(16)	2263370982554737061	0 12 30 66 68 122 128 152 156 180 186 240 242 278 296 308	722185680402
SPT(16)	2263370997201331643	0 14 30 36 38 54 140 168 176 204 290 306 308 314 330 344	736832274984
STPT(10)	2263371345994703447	0 2 24 26 42 44 60 62 84 86	1085625646788