Prime p₀= 2537552275476891089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 46 2 16 2 58 2 52 2 (?)
a_n: 0 2 30 32 132 134 180 182 198 200 258 260 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 28 100 46 16 58 52

SPT(16)	2537550520604272477	0 40 66 84 90 100 124 154 222 252 276 286 292 310 336 376	-1754872618612
SPT(13)	2537550856287333499	0 12 42 54 60 120 132 144 204 210 222 252 264	-1419189557590
SPT(16)	2537551842553992359	0 8 18 72 78 120 170 218 252 300 350 392 398 452 462 470	-432922898730
STPT(10)	2537551876758485537	0 2 30 32 42 44 54 56 84 86	-398718405552
STPT(10)	2537551891057987547	0 2 42 44 72 74 102 104 144 146	-384418903542
STPT(10)	2537552136533401121	0 2 36 38 78 80 120 122 156 158	-138943489968
SPT(16)	2537552336574130553	0 20 86 90 98 104 156 168 236 248 300 306 314 318 384 404	61097239464
SPT(16)	2537552548916826449	0 24 74 98 108 138 140 152 210 222 224 254 264 288 338 362	273439935360
SPT(16)	2537552724923910289	0 12 40 60 70 112 114 120 214 220 222 264 274 294 322 334	449447019200
SPT(16)	2537552748429529219	0 22 30 90 184 204 232 288 334 390 418 438 532 592 600 622	472952638130
SPT(16)	2537552894262125599	0 48 112 142 202 220 238 250 252 264 282 300 360 390 454 502	618785234510