Prime p₀= 2263370396264453891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 28 2 10 2 16 2 22 2 (?)
a_n: 0 2 126 128 156 158 186 188 198 200 216 218 240 242
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: Orange Kid
db: batch=81, k=14, 124 28 28 10 16 22

SPT(16)	2263368480925896037	0 36 42 72 102 124 130 172 264 306 312 334 364 394 400 436	-1915338557854
TPT(14)	2263368636239791109	0 2 30 32 42 44 72 74 78 80 120 122 282 284	-1760024662782
STPT(10)	2263369180061002841	0 2 36 38 78 80 120 122 156 158	-1216203451050
SPT(16)	2263369389807924533	0 20 116 126 144 156 204 234 266 296 344 356 374 384 480 500	-1006456529358
SPT(16)	2263369669471328357	0 14 36 44 56 60 66 92 114 140 146 150 162 170 192 206	-726793125534
STPT(10)	2263370260369056659	0 2 42 44 60 62 78 80 120 122	-135895397232
SPT(16)	2263370601571632379	0 82 114 190 204 208 220 222 280 282 294 298 312 388 420 502	205307178488
SPT(16)	2263370982554737061	0 12 30 66 68 122 128 152 156 180 186 240 242 278 296 308	586290283170
SPT(16)	2263370997201331643	0 14 30 36 38 54 140 168 176 204 290 306 308 314 330 344	600936877752
STPT(10)	2263371345994703447	0 2 24 26 42 44 60 62 84 86	949730249556
SPT(16)	2263371404183522377	0 12 30 40 82 132 136 166 210 240 244 294 336 346 364 376	1007919068486