Prime p₀= 2129301520597812791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 88 2 4 2 70 2 10 2 28 2 (?)
a_n: 0 2 60 62 150 152 156 158 228 230 240 242 270 272
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: 272
Found by: CoolAtchOk
db: batch=80, k=14, 58 88 4 70 10 28

STPT(10)	2129300542612301171	0 2 36 38 78 80 120 122 156 158	-977985511620
SPT(16)	2129300645318644711	0 12 30 58 70 88 156 160 168 172 240 258 270 298 316 328	-875279168080
SPT(16)	2129300999097950203	0 18 60 70 78 84 108 120 214 226 250 256 264 274 316 334	-521499862588
STPT(10)	2129301231275412809	0 2 18 20 30 32 42 44 60 62	-289322399982
STPT(10)	2129301261615406139	0 2 18 20 30 32 42 44 60 62	-258982406652
SPT(16)	2129301419708556601	0 16 60 112 120 186 198 226 312 340 352 418 426 478 522 538	-100889256190
SPT(16)	2129302159977512867	0 2 14 42 90 120 140 152 162 174 194 224 272 300 312 314	639379700076
SPT(16)	2129302206789490903	0 24 36 84 88 106 150 174 190 214 258 276 280 328 340 364	686191678112
SPT(16)	2129302690069128389	0 48 62 114 138 144 170 180 272 282 308 314 338 390 404 452	1169471315598
STPT(12)	2129302990455215537	0 2 42 44 144 146 210 212 312 314 354 356	1469857402746
SPT(16)	2129303011574037671	0 50 56 78 98 168 170 180 236 246 248 318 338 360 366 416	1490976224880