Prime p₀= 2671487294173553957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 166 2 190 2 88 2 64 2 142 2 (?)
a_n: 0 2 24 26 192 194 384 386 474 476 540 542 684 686
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: 686
Found by: JayPi
db: batch=82, k=14, 22 166 190 88 64 142

SPT(16)	2671485257756782531	0 12 18 30 42 88 96 106 162 172 180 226 238 250 256 268	-2036416771426
STPT(10)	2671486216180135091	0 2 78 80 108 110 138 140 216 218	-1077993418866
SPT(16)	2671486565546922587	0 36 60 114 120 144 150 162 234 246 252 276 282 336 360 396	-728626631370
SPT(16)	2671486588554490081	0 16 46 48 70 78 100 112 216 228 250 258 280 282 312 328	-705619063876
STPT(10)	2671487045991707261	0 2 48 50 168 170 288 290 336 338	-248181846696
STPT(10)	2671487076546967307	0 2 30 32 72 74 114 116 144 146	-217626586650
STPT(10)	2671487405366575319	0 2 18 20 30 32 42 44 60 62	111193021362
SPT(16)	2671488866431115023	0 16 18 30 40 54 66 88 96 118 130 144 154 166 168 184	1572257561066
STPT(12)	2671488911203829489	0 2 12 14 42 44 48 50 78 80 90 92	1617030275532
SPT(16)	2671488997492360249	0 40 138 144 154 162 168 228 274 334 340 348 358 364 462 502	1703318806292
STPT(10)	2671489576354875317	0 2 30 32 42 44 54 56 84 86	2282181321360