Prime p₀= 2738578943579520887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 76 2 28 2 52 2 46 2 (?)
a_n: 0 2 60 62 72 74 150 152 180 182 234 236 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 58 10 76 28 52 46

STPT(10)	2738577081718803329	0 2 42 44 90 92 138 140 180 182	-1861860717558
SPT(16)	2738577405032298889	0 34 72 78 82 120 168 258 274 364 412 450 454 460 498 532	-1538547221998
STPT(10)	2738577673028144807	0 2 30 32 72 74 114 116 144 146	-1270551376080
SPT(16)	2738578076739947579	0 8 12 44 74 92 98 132 140 174 180 198 228 260 264 272	-866839573308
SPT(20)	2738578143940987613	0 38 90 96 108 110 116 140 156 174 290 308 324 348 354 356 368 374 426 464	-799638533274
SPT(16)	2738578782578992069	0 10 52 84 94 100 114 184 300 370 384 390 400 432 474 484	-161000528818
SPT(16)	2738579043332220923	0 24 38 80 116 120 128 134 150 156 164 168 204 246 260 284	99752700036
STPT(10)	2738579391568669541	0 2 6 8 48 50 90 92 96 98	447989148654
SPT(16)	2738579689906332737	0 6 56 80 86 104 110 156 164 210 216 234 240 264 314 320	746326811850
SPT(16)	2738579950962676181	0 36 48 98 128 138 170 176 180 186 218 228 258 308 320 356	1007383155294
STPT(10)	2738580017160454457	0 2 12 14 42 44 72 74 84 86	1073580933570