Prime p₀= 2280438774703220819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 4 2 82 2 46 2 (?)
a_n: 0 2 30 32 48 50 72 74 78 80 162 164 210 212
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: 212
Found by: Orange Kid
db: batch=81, k=14, 28 16 22 4 82 46

SPT(16)	2280436267775971867	0 30 42 72 84 106 210 232 234 256 360 382 394 424 436 466	-2506927248952
STPT(10)	2280436390712373317	0 2 54 56 72 74 90 92 144 146	-2383990847502
STPT(10)	2280436707934662437	0 2 30 32 42 44 54 56 84 86	-2066768558382
STPT(10)	2280437619000677579	0 2 42 44 60 62 78 80 120 122	-1155702543240
SPT(16)	2280438136146211619	0 2 12 30 50 62 110 114 158 162 210 222 242 260 270 272	-638557009200
SPT(16)	2280438264170822117	0 6 26 60 120 152 246 264 272 290 384 416 476 510 530 536	-510532398702
SPT(16)	2280438893630332007	0 14 24 26 62 84 86 96 140 150 152 174 210 212 222 236	118927111188
STPT(10)	2280438919371943787	0 2 30 32 72 74 114 116 144 146	144668722968
SPT(16)	2280439136226139087	0 24 36 52 64 90 94 112 174 192 196 222 234 250 262 286	361522918268
STPT(10)	2280439684846458431	0 2 6 8 18 20 30 32 36 38	910143237612
SPT(18)	2280439779424578377	0 50 56 72 86 92 132 146 182 300 336 350 390 396 410 426 432 482	1004721357558