Prime p₀= 2206357372547274701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 16 2 10 2 46 2 88 2 (?)
a_n: 0 2 60 62 108 110 126 128 138 140 186 188 276 278
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: 278
Found by: Orange Kid
db: batch=81, k=14, 58 46 16 10 46 88

SPT(16)	2206355311894272041	0 18 62 68 96 126 132 152 306 326 332 362 390 396 440 458	-2060653002660
TPT(14)	2206355808873738227	0 2 30 32 180 182 222 224 252 254 264 266 294 296	-1563673536474
STPT(10)	2206355998590226631	0 2 30 32 78 80 126 128 156 158	-1373957048070
TPT(14)	2206356281469509291	0 2 78 80 150 152 168 170 210 212 276 278 300 302	-1091077765410
SPT(16)	2206356948124338941	0 50 72 92 128 152 158 222 266 330 336 360 396 416 438 488	-424422935760
STPT(10)	2206357322792834831	0 2 6 8 48 50 90 92 96 98	-49754439870
SPT(16)	2206357478754938609	0 14 80 90 150 158 174 192 200 218 234 242 302 312 378 392	106207663908
SPT(16)	2206357542522458137	0 22 64 106 126 150 156 184 192 220 226 250 270 312 354 376	169975183436
SPT(18)	2206358018038024601	0 32 36 60 78 86 108 116 128 240 252 260 282 290 308 332 336 368	645490749900
STPT(10)	2206358235220857071	0 2 6 8 48 50 90 92 96 98	862673582370
SPT(16)	2206358361335876357	0 12 36 42 44 56 84 86 150 152 180 192 194 200 224 236	988788601656