Prime p₀= 2239267915173155507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 10 2 28 2 64 2 10 2 (?)
a_n: 0 2 12 14 102 104 114 116 144 146 210 212 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 10 88 10 28 64 10

SPT(16)	2239267228186756219	0 12 22 48 58 78 88 90 112 114 124 144 154 180 190 202	-686986399288
STPT(10)	2239267418047417727	0 2 30 32 72 74 114 116 144 146	-497125737780
SPT(16)	2239267486961284783	0 64 70 76 78 154 156 174 310 328 330 406 408 414 420 484	-428211870724
STPT(10)	2239267617355722089	0 2 42 44 90 92 138 140 180 182	-297817433418
SPT(16)	2239267643578075753	0 30 84 90 114 136 156 166 168 178 198 220 244 250 304 334	-271595079754
TPT(14)	2239267679818002257	0 2 54 56 114 116 180 182 210 212 342 344 384 386	-235355153250
STPT(10)	2239268058640288601	0 2 30 32 78 80 126 128 156 158	143467133094
STPT(10)	2239268818798292597	0 2 30 32 42 44 54 56 84 86	903625137090
STPT(10)	2239269067630139729	0 2 18 20 30 32 42 44 60 62	1152456984222
STPT(10)	2239269980225739917	0 2 30 32 42 44 54 56 84 86	2065052584410
STPT(10)	2239270022649265997	0 2 30 32 42 44 54 56 84 86	2107476110490