Prime p₀= 2003632379785347761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 94 2 28 2 58 2 10 2 (?)
a_n: 0 2 6 8 30 32 126 128 156 158 216 218 228 230
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: 230
Found by: Dingo
db: batch=80, k=14, 4 22 94 28 58 10

TPT(14)	2003628256850832971	0 2 6 8 36 38 60 62 126 128 168 170 186 188	-4122934514790
SPT(16)	2003628641218778537	0 12 120 126 132 162 236 266 270 300 374 404 410 416 524 536	-3738566569224
SPT(16)	2003629584951825487	0 16 30 40 42 66 72 112 114 154 160 184 186 196 210 226	-2794833522274
TPT(14)	2003631656492513237	0 2 12 14 114 116 192 194 222 224 372 374 570 572	-723292834524
SPT(16)	2003631783652028869	0 58 94 114 120 154 198 232 240 274 318 352 358 378 414 472	-596133318892
STPT(10)	2003632028427759797	0 2 60 62 72 74 84 86 144 146	-351357587964
STPT(10)	2003632761020881997	0 2 30 32 42 44 54 56 84 86	381235534236
SPT(16)	2003632922029779869	0 2 50 104 114 132 182 192 230 240 290 308 318 372 420 422	542244432108
SPT(16)	2003632999974041281	0 16 42 58 138 150 198 226 252 280 328 340 420 436 462 478	620188693520
SPT(16)	2003633155856736553	0 4 48 78 144 234 274 276 298 300 340 430 496 526 570 574	776071388792
STPT(10)	2003633355179780711	0 2 30 32 78 80 126 128 156 158	975394432950