Prime p₀= 2397050587443614279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 4 2 22 2 154 2 10 2 (?)
a_n: 0 2 48 50 72 74 78 80 102 104 258 260 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 46 22 4 22 154 10

SPT(16)	2397048532011122903	0 26 50 56 90 134 140 156 158 174 180 224 258 264 288 314	-2055432491376
SPT(16)	2397049060080054619	0 24 42 84 144 210 220 222 262 264 274 340 400 442 460 484	-1527363559660
SPT(16)	2397049152483721271	0 6 30 72 96 110 116 176 222 282 288 302 326 368 392 398	-1434959893008
SPT(16)	2397049249487727577	0 22 42 46 54 136 156 166 210 220 240 322 330 334 354 376	-1337955886702
SPT(16)	2397049740950450251	0 12 52 72 78 96 138 142 246 250 292 310 316 336 376 388	-846493164028
STPT(10)	2397050314023744521	0 2 6 8 18 20 30 32 36 38	-273419869758
STPT(10)	2397051049229928101	0 2 36 38 108 110 180 182 216 218	461786313822
SPT(18)	2397051051433417289	0 54 60 72 98 120 122 164 180 182 198 240 242 264 290 302 308 362	463989803010
SPT(16)	2397051800861561131	0 10 28 58 66 72 78 138 280 340 346 352 360 390 408 418	1213417946852
STPT(10)	2397052041230686919	0 2 48 50 60 62 72 74 120 122	1453787072640
STPT(10)	2397052603214849537	0 2 42 44 72 74 102 104 144 146	2015771235258