Prime p₀= 2310360899030925281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 64 2 70 2 16 2 40 2 (?)
a_n: 0 2 60 62 90 92 156 158 228 230 246 248 288 290
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: 290
Found by: FritzB
db: batch=81, k=14, 58 28 64 70 16 40

STPT(10)	2310359690779922609	0 2 42 44 60 62 78 80 120 122	-1208251002672
STPT(10)	2310359829375987251	0 2 36 38 78 80 120 122 156 158	-1069654938030
TPT(14)	2310360142398859091	0 2 30 32 90 92 168 170 210 212 246 248 288 290	-756632066190
TPT(14)	2310360253080990347	0 2 12 14 54 56 72 74 84 86 240 242 252 254	-645949934934
SPT(16)	2310360404709667379	0 2 24 32 138 144 264 270 362 368 488 494 600 608 630 632	-494321257902
SPT(16)	2310360642414110437	0 4 6 40 60 72 76 210 286 420 424 436 456 490 492 496	-256616814844
STPT(10)	2310361076229437897	0 2 12 14 42 44 72 74 84 86	177198512616
STPT(10)	2310361913807048831	0 2 36 38 78 80 120 122 156 158	1014776123550
TPT(14)	2310361996895845967	0 2 42 44 72 74 84 86 174 176 222 224 282 284	1097864920686
SPT(16)	2310362324669689181	0 26 30 56 72 78 80 86 132 138 140 146 162 188 192 218	1425638763900
STPT(10)	2310362348082361631	0 2 36 38 78 80 120 122 156 158	1449051436350