Prime p₀= 2907117461971610339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 46 2 268 2 52 2 58 2 (?)
a_n: 0 2 12 14 90 92 138 140 408 410 462 464 522 524
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: 524
Found by: Landjunge
db: batch=82, k=14, 10 76 46 268 52 58

SPT(16)	2907115570620054197	0 26 60 96 110 132 192 200 216 224 284 306 320 356 390 416	-1891351556142
SPT(13)	2907115620530122949	0 54 90 120 132 150 192 234 252 264 294 330 384	-1841441487390
SPT(16)	2907116402090916539	0 14 20 30 32 38 72 108 164 200 234 240 242 252 258 272	-1059880693800
STPT(10)	2907116620797042299	0 2 48 50 60 62 72 74 120 122	-841174568040
SPT(16)	2907117069145537051	0 30 46 72 88 100 108 112 156 160 168 180 196 222 238 268	-392826073288
STPT(10)	2907117257439813701	0 2 6 8 48 50 90 92 96 98	-204531796638
SPT(16)	2907117675097681081	0 12 22 46 58 72 82 88 180 186 196 210 222 246 256 268	213126070742
SPT(16)	2907118167066247609	0 18 100 102 114 124 132 144 238 250 258 268 280 282 364 382	705094637270
STPT(10)	2907118423695933791	0 2 36 38 78 80 120 122 156 158	961724323452
STPT(10)	2907118446147750407	0 2 24 26 42 44 60 62 84 86	984176140068
SPT(16)	2907118562764093703	0 6 48 90 114 120 138 156 158 176 194 200 224 266 308 314	1100792483364