Prime p₀= 2973926727967649537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 28 2 76 2 40 2 (?)
a_n: 0 2 12 14 54 56 114 116 144 146 222 224 264 266
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: conf [MM]
db: batch=82, k=14, 10 40 58 28 76 40

STPT(10)	2973924464825543627	0 2 30 32 72 74 114 116 144 146	-2263142105910
SPT(16)	2973925177780254179	0 20 32 62 72 104 122 140 174 192 210 242 252 282 294 314	-1550187395358
SPT(16)	2973925227458588327	0 26 30 56 60 74 86 144 176 234 246 260 264 290 294 320	-1500509061210
SPT(16)	2973925330498218557	0 14 24 42 54 74 90 96 110 116 132 152 164 182 192 206	-1397469430980
STPT(10)	2973925586729439647	0 2 30 32 42 44 54 56 84 86	-1141238209890
STPT(10)	2973925610465641367	0 2 30 32 42 44 54 56 84 86	-1117502008170
STPT(10)	2973926775349692287	0 2 30 32 72 74 114 116 144 146	47382042750
SPT(16)	2973927558165649999	0 18 28 34 60 112 118 168 214 264 270 322 348 354 364 382	830198000462
SPT(16)	2973927773139776963	0 20 24 26 80 90 126 156 248 278 314 324 378 380 384 404	1045172127426
STPT(10)	2973927988582599017	0 2 12 14 72 74 132 134 144 146	1260614949480
TPT(14)	2973928152786751619	0 2 30 32 198 200 312 314 378 380 420 422 468 470	1424819102082