Prime p₀= 2907115325144449457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 34 2 28 2 100 2 10 2 (?)
a_n: 0 2 24 26 84 86 120 122 150 152 252 254 264 266
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: 266
Found by: Landjunge
db: batch=82, k=14, 22 58 34 28 100 10

STPT(10)	2907112823626120799	0 2 18 20 30 32 42 44 60 62	-2501518328658
SPT(16)	2907113621042764277	0 74 140 162 176 282 312 344 372 404 434 540 554 576 642 716	-1704101685180
SPT(16)	2907113839326620377	0 4 12 16 42 46 82 114 142 174 210 214 240 244 252 256	-1485817829080
SPT(16)	2907114590877316979	0 12 18 32 54 84 90 120 122 152 158 188 210 224 230 242	-734267132478
SPT(16)	2907114859300615709	0 18 42 44 54 62 84 114 158 188 210 218 228 230 254 272	-465843833748
STPT(10)	2907115179435702419	0 2 18 20 30 32 42 44 60 62	-145708747038
SPT(16)	2907115570620054197	0 26 60 96 110 132 192 200 216 224 284 306 320 356 390 416	245475604740
SPT(13)	2907115620530122949	0 54 90 120 132 150 192 234 252 264 294 330 384	295385673492
SPT(16)	2907116402090916539	0 14 20 30 32 38 72 108 164 200 234 240 242 252 258 272	1076946467082
STPT(10)	2907116620797042299	0 2 48 50 60 62 72 74 120 122	1295652592842
SPT(16)	2907117069145537051	0 30 46 72 88 100 108 112 156 160 168 180 196 222 238 268	1744001087594