Prime p₀= 2668633228438210919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 124 2 52 2 58 2 28 2 4 2 (?)
a_n: 0 2 72 74 198 200 252 254 312 314 342 344 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 70 124 52 58 28 4

TPT(14)	2668631934399455159	0 2 42 44 48 50 78 80 168 170 288 290 300 302	-1294038755760
SPT(16)	2668632133346506141	0 22 36 52 118 126 156 220 258 322 352 360 426 442 456 478	-1095091704778
SPT(16)	2668632325657226449	0 34 42 48 52 54 78 108 124 154 178 180 184 190 198 232	-902780984470
TPT(14)	2668632480208108859	0 2 90 92 168 170 198 200 240 242 252 254 282 284	-748230102060
STPT(10)	2668632926537646119	0 2 42 44 60 62 78 80 120 122	-301900564800
STPT(10)	2668633152181493039	0 2 12 14 90 92 168 170 180 182	-76256717880
TPT(14)	2668633265903592521	0 2 6 8 30 32 48 50 120 122 216 218 228 230	37465381602
STPT(10)	2668633568487108977	0 2 30 32 42 44 54 56 84 86	340048898058
STPT(10)	2668633916875724891	0 2 30 32 60 62 90 92 120 122	688437513972
TPT(14)	2668634059737060431	0 2 18 20 30 32 78 80 90 92 126 128 156 158	831298849512
TPT(14)	2668634181230092037	0 2 30 32 54 56 72 74 132 134 180 182 282 284	952791881118