Prime p₀= 2390959939899748307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 10 2 28 2 10 2 (?)
a_n: 0 2 30 32 54 56 60 62 72 74 102 104 114 116
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: 116
Found by: Coleslaw
db: batch=81, k=14, 28 22 4 10 28 10

STPT(10)	2390959061405217179	0 2 30 32 60 62 90 92 120 122	-878494531128
STPT(10)	2390959203225298001	0 2 6 8 18 20 30 32 36 38	-736674450306
SPT(16)	2390959352673606697	0 10 76 100 126 136 142 166 210 234 240 250 276 300 366 376	-587226141610
STPT(10)	2390959470976698407	0 2 30 32 60 62 90 92 120 122	-468923049900
STPT(10)	2390959727909148761	0 2 30 32 78 80 126 128 156 158	-211990599546
STPT(10)	2390959927149687071	0 2 6 8 48 50 90 92 96 98	-12750061236
SPT(16)	2390960502771335461	0 36 82 180 246 256 310 352 360 402 456 466 532 630 676 712	562871587154
STPT(10)	2390960805575749877	0 2 30 32 42 44 54 56 84 86	865676001570
SPT(16)	2390960814176819429	0 18 72 80 108 138 140 182 210 252 254 284 312 320 374 392	874277071122
STPT(10)	2390960917101905747	0 2 30 32 42 44 54 56 84 86	977202157440
TPT(14)	2390960975508750287	0 2 12 14 24 26 42 44 60 62 102 104 144 146	1035609001980