Prime p₀= 2701664384124467561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 88 2 10 2 40 2 64 2 (?)
a_n: 0 2 60 62 126 128 216 218 228 230 270 272 336 338
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: 338
Found by: biodoc
db: batch=82, k=14, 58 64 88 10 40 64

STPT(10)	2701662041520382769	0 2 12 14 90 92 168 170 180 182	-2342604084792
SPT(16)	2701662254741140111	0 10 12 82 106 126 148 166 222 240 262 282 306 376 378 388	-2129383327450
TPT(14)	2701662577934319689	0 2 18 20 42 44 48 50 60 62 72 74 138 140	-1806190147872
STPT(10)	2701662705510017927	0 2 30 32 42 44 54 56 84 86	-1678614449634
SPT(16)	2701663508479264387	0 10 22 36 90 120 130 142 204 216 226 256 310 324 336 346	-875645203174
SPT(18)	2701663541165337289	0 10 58 88 90 100 154 168 198 214 244 258 312 322 324 354 402 412	-842959130272
SPT(16)	2701664506076227379	0 18 24 42 50 62 74 80 102 108 120 132 140 158 164 182	121951759818
STPT(12)	2701666084175465021	0 2 18 20 60 62 96 98 138 140 156 158	1700050997460
SPT(16)	2701666173443938607	0 14 36 56 62 90 174 176 210 212 296 324 330 350 372 386	1789319471046
STPT(10)	2701666294424604107	0 2 42 44 72 74 102 104 144 146	1910300136546
SPT(16)	2701666421124837611	0 8 12 26 30 68 86 92 96 102 120 158 162 176 180 188	2037000370050