Prime p₀= 2378622620146701737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 28 2 16 2 88 2 (?)
a_n: 0 2 12 14 30 32 42 44 72 74 90 92 180 182
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: 182
Found by: arkiss
db: batch=81, k=14, 10 16 10 28 16 88

SPT(16)	2378620841576773921	0 18 88 106 108 138 166 186 190 210 238 268 270 288 358 376	-1778569927816
STPT(10)	2378620981704305519	0 2 18 20 30 32 42 44 60 62	-1638442396218
SPT(16)	2378621553336166949	0 2 32 42 48 72 122 188 192 258 308 332 338 348 378 380	-1066810534788
SPT(16)	2378621613622143157	0 16 30 42 76 120 126 130 132 136 142 186 220 232 246 262	-1006524558580
SPT(16)	2378621712648619351	0 6 18 40 60 78 90 106 222 238 250 268 288 310 322 328	-907498082386
TPT(14)	2378622278580387479	0 2 48 50 78 80 132 134 168 170 258 260 402 404	-341566314258
SPT(16)	2378623457966741561	0 8 42 50 92 140 170 188 192 210 240 288 330 338 372 380	837820039824
SPT(16)	2378623782101338259	0 8 12 42 48 60 158 180 230 252 350 362 368 398 402 410	1161954636522
STPT(10)	2378624252637290477	0 2 30 32 42 44 54 56 84 86	1632490588740
STPT(10)	2378624284865491079	0 2 18 20 30 32 42 44 60 62	1664718789342
STPT(10)	2378624374061352449	0 2 48 50 90 92 132 134 180 182	1753914650712