Prime p₀= 2276837538473293727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 34 2 40 2 40 2 46 2 (?)
a_n: 0 2 24 26 84 86 120 122 162 164 204 206 252 254
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: 254
Found by: JayPi
db: batch=81, k=14, 22 58 34 40 40 46

STPT(10)	2276835848444644211	0 2 6 8 48 50 90 92 96 98	-1690028649516
STPT(10)	2276836338220218041	0 2 36 38 78 80 120 122 156 158	-1200253075686
SPT(16)	2276836746366202477	0 10 34 46 84 90 100 106 114 120 130 136 174 186 210 220	-792107091250
SPT(16)	2276836914553655371	0 58 112 120 156 162 172 196 222 246 256 262 298 306 360 418	-623919638356
STPT(10)	2276837197883791061	0 2 36 38 78 80 120 122 156 158	-340589502666
SPT(16)	2276837237384514419	0 30 44 80 102 114 132 140 174 182 200 212 234 270 284 314	-301088779308
STPT(10)	2276837553860107127	0 2 42 44 162 164 282 284 324 326	15386813400
STPT(10)	2276837737689596969	0 2 18 20 30 32 42 44 60 62	199216303242
SPT(16)	2276838040295228629	0 18 42 72 90 120 172 198 202 228 280 310 328 358 382 400	501821934902
STPT(10)	2276838113733197891	0 2 30 32 60 62 90 92 120 122	575259904164
SPT(16)	2276838214232587387	0 46 70 100 114 120 156 252 274 370 406 412 426 456 480 526	675759293660