Prime p₀= 2233726385667987281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 34 2 10 2 28 2 76 2 (?)
a_n: 0 2 108 110 120 122 156 158 168 170 198 200 276 278
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: 278
Found by: JayPi
db: batch=81, k=14, 106 10 34 10 28 76

SPT(16)	2233725642488490439	0 4 28 48 112 132 172 198 214 240 280 300 364 384 408 412	-743179496842
SPT(16)	2233725852994881437	0 14 26 56 66 90 152 170 216 234 296 320 330 360 372 386	-532673105844
SPT(16)	2233725855072757237	0 10 22 36 40 66 70 76 126 132 136 162 166 180 192 202	-530595230044
SPT(16)	2233725949408427671	0 10 22 28 30 60 82 88 162 168 190 220 222 228 240 250	-436259559610
SPT(13)	2233726022202922189	0 60 90 108 150 174 264 354 378 420 438 468 528	-363465065092
STPT(10)	2233726383112924727	0 2 24 26 42 44 60 62 84 86	-2555062554
SPT(16)	2233726426616590459	0 4 10 12 24 64 78 94 138 154 168 208 220 222 228 232	40948603178
STPT(10)	2233726475186236451	0 2 36 38 78 80 120 122 156 158	89518249170
TPT(14)	2233726611975013451	0 2 30 32 48 50 156 158 168 170 216 218 240 242	226307026170
STPT(10)	2233726914632238209	0 2 30 32 60 62 90 92 120 122	528964250928
SPT(16)	2233726979496628507	0 6 22 24 42 90 94 124 162 192 196 244 262 264 280 286	593828641226