Prime p₀= 2378035775128615307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 28 2 76 2 46 2 22 2 (?)
a_n: 0 2 24 26 114 116 144 146 222 224 270 272 294 296
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: 296
Found by: ChUcK
db: batch=81, k=14, 22 88 28 76 46 22

SPT(16)	2378034459248360459	0 30 32 44 68 134 144 152 210 218 228 294 318 330 332 362	-1315880254848
STPT(10)	2378034592261088807	0 2 54 56 72 74 90 92 144 146	-1182867526500
SPT(16)	2378034995518020659	0 2 20 42 60 74 108 122 150 164 198 212 230 252 270 272	-779610594648
STPT(10)	2378035078946526029	0 2 30 32 60 62 90 92 120 122	-696182089278
STPT(10)	2378035524717297629	0 2 30 32 60 62 90 92 120 122	-250411317678
STPT(10)	2378035593996438581	0 2 6 8 18 20 30 32 36 38	-181132176726
STPT(10)	2378035787253606407	0 2 42 44 72 74 102 104 144 146	12124991100
SPT(16)	2378036201681391521	0 6 18 26 36 48 78 116 162 200 230 242 252 260 272 278	426552776214
STPT(10)	2378036299367597987	0 2 24 26 42 44 60 62 84 86	524238982680
SPT(16)	2378036418716058013	0 6 36 64 96 160 168 216 238 286 294 358 390 418 448 454	643587442706
TPT(14)	2378036518351350299	0 2 18 20 42 44 60 62 78 80 102 104 132 134	743222734992