Prime p₀= 2239267679818002257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 64 2 28 2 130 2 40 2 (?)
a_n: 0 2 54 56 114 116 180 182 210 212 342 344 384 386
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: 386
Found by: Landjunge
db: batch=81, k=14, 52 58 64 28 130 40

TPT(14)	2239266803526412787	0 2 12 14 30 32 54 56 162 164 180 182 204 206	-876291589470
SPT(16)	2239267228186756219	0 12 22 48 58 78 88 90 112 114 124 144 154 180 190 202	-451631246038
STPT(10)	2239267418047417727	0 2 30 32 72 74 114 116 144 146	-261770584530
SPT(16)	2239267486961284783	0 64 70 76 78 154 156 174 310 328 330 406 408 414 420 484	-192856717474
STPT(10)	2239267617355722089	0 2 42 44 90 92 138 140 180 182	-62462280168
SPT(16)	2239267643578075753	0 30 84 90 114 136 156 166 168 178 198 220 244 250 304 334	-36239926504
TPT(14)	2239267915173155507	0 2 12 14 102 104 114 116 144 146 210 212 222 224	235355153250
STPT(10)	2239268058640288601	0 2 30 32 78 80 126 128 156 158	378822286344
STPT(10)	2239268818798292597	0 2 30 32 42 44 54 56 84 86	1138980290340
STPT(10)	2239269067630139729	0 2 18 20 30 32 42 44 60 62	1387812137472
STPT(10)	2239269980225739917	0 2 30 32 42 44 54 56 84 86	2300407737660