Prime p₀= 2639168042365748741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 142 2 28 2 46 2 16 2 22 2 (?)
a_n: 0 2 66 68 210 212 240 242 288 290 306 308 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 64 142 28 46 16 22

STPT(10)	2639167099322506967	0 2 30 32 42 44 54 56 84 86	-943043241774
STPT(10)	2639167189302752651	0 2 6 8 48 50 90 92 96 98	-853062996090
TPT(14)	2639167274835727331	0 2 36 38 78 80 150 152 216 218 258 260 306 308	-767530021410
STPT(12)	2639167369917393011	0 2 6 8 48 50 138 140 180 182 186 188	-672448355730
STPT(10)	2639167587491581841	0 2 36 38 78 80 120 122 156 158	-454874166900
SPT(16)	2639167928974361221	0 6 28 66 138 142 180 196 222 238 276 280 352 390 412 418	-113391387520
SPT(16)	2639168083034457769	0 12 34 40 64 70 72 132 280 340 342 348 372 378 400 412	40668709028
SPT(16)	2639168895691881941	0 122 152 168 180 218 276 302 306 332 390 428 440 456 486 608	853326133200
STPT(10)	2639168989143613049	0 2 12 14 30 32 48 50 60 62	946777864308
SPT(13)	2639169654501561409	0 18 114 120 138 180 204 228 270 288 294 390 408	1612135812668
SPT(16)	2639169963584548181	0 30 36 42 50 62 98 102 116 120 156 168 176 182 188 218	1921218799440