Prime p₀= 2701087507042411631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 178 2 40 2 64 2 70 2 (?)
a_n: 0 2 6 8 18 20 198 200 240 242 306 308 378 380
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: 380
Found by: biodoc
db: batch=82, k=14, 4 10 178 40 64 70

SPT(16)	2701086724611576611	0 8 18 32 38 78 126 140 168 182 230 270 276 290 300 308	-782430835020
SPT(16)	2701086752274938857	0 4 12 36 40 46 100 130 156 186 240 246 250 274 282 286	-754767472774
STPT(12)	2701086756967861019	0 2 30 32 60 62 102 104 132 134 162 164	-750074550612
SPT(16)	2701086878865984013	0 16 28 48 54 94 118 166 168 216 240 280 286 306 318 334	-628176427618
STPT(10)	2701086967508140031	0 2 6 8 18 20 30 32 36 38	-539534271600
SPT(16)	2701087132968101557	0 12 16 84 96 124 144 304 312 472 492 520 532 600 604 616	-374074310074
SPT(16)	2701087537039326091	0 42 60 96 166 196 198 228 250 280 282 312 382 418 436 478	29996914460
SPT(16)	2701087606786322027	0 26 32 74 152 156 164 180 266 282 290 294 372 414 420 446	99743910396
SPT(16)	2701088432594389567	0 10 16 34 72 90 94 142 144 192 196 214 252 270 276 286	925551977936
TPT(14)	2701088472833680661	0 2 6 8 90 92 138 140 180 182 186 188 378 380	965791269030
STPT(10)	2701088521256589461	0 2 6 8 48 50 90 92 96 98	1014214177830