Prime p₀= 2539596161584985597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 28 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 120 122 150 152 180 182 204 206
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: 206
Found by: JayPi
db: batch=82, k=14, 22 28 64 28 28 22

SPT(16)	2539594632338197277	0 2 12 20 42 120 132 140 174 182 194 272 294 302 312 314	-1529246788320
SPT(16)	2539594678164181139	0 32 60 78 98 152 188 218 234 264 300 354 374 392 420 452	-1483420804458
STPT(10)	2539594795730892041	0 2 6 8 18 20 30 32 36 38	-1365854093556
SPT(16)	2539594996663150163	0 6 8 14 24 96 126 138 176 188 218 290 300 306 308 314	-1164921835434
STPT(10)	2539595025665854337	0 2 24 26 42 44 60 62 84 86	-1135919131260
SPT(16)	2539595841030090769	0 58 112 150 180 202 222 268 342 388 408 430 460 498 552 610	-320554894828
SPT(16)	2539596182789988479	0 2 48 50 80 84 138 150 152 164 218 222 252 254 300 302	21205002882
TPT(14)	2539596480959264687	0 2 30 32 72 74 120 122 174 176 552 554 564 566	319374279090
SPT(16)	2539596491731585369	0 12 18 42 48 118 124 130 222 228 234 304 310 334 340 352	330146599772
SPT(16)	2539596493785368869	0 18 52 102 118 130 150 190 192 232 252 264 280 330 364 382	332200383272
TPT(14)	2539596605051879741	0 2 30 32 60 62 210 212 300 302 348 350 420 422	443466894144