Prime p₀= 2083278963245272487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 10 2 40 2 16 2 46 2 (?)
a_n: 0 2 30 32 90 92 102 104 144 146 162 164 210 212
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: 212
Found by: Landjunge
db: batch=80, k=14, 28 58 10 40 16 46

SPT(16)	2083278317091934177	0 36 46 70 90 102 112 150 172 210 220 232 252 276 286 322	-646153338310
SPT(16)	2083278406068752909	0 20 44 74 78 122 132 164 168 200 210 254 258 288 312 332	-557176519578
SPT(16)	2083278470183656087	0 12 34 40 112 132 156 166 210 220 244 264 336 342 364 376	-493061616400
SPT(18)	2083278470377406059	0 4 10 18 24 88 108 112 114 148 150 154 174 238 244 252 258 262	-492867866428
SPT(16)	2083278645735283709	0 20 60 62 72 108 140 168 212 240 272 308 318 320 360 380	-317509988778
STPT(10)	2083278669286521989	0 2 42 44 60 62 78 80 120 122	-293958750498
STPT(10)	2083278984888745517	0 2 30 32 42 44 54 56 84 86	21643473030
STPT(10)	2083279082317814201	0 2 6 8 18 20 30 32 36 38	119072541714
SPT(16)	2083279709187736933	0 16 76 90 96 184 196 234 370 408 420 508 514 528 588 604	745942464446
SPT(16)	2083279847500875437	0 30 56 140 152 156 192 200 276 284 320 324 336 420 446 476	884255602950
SPT(16)	2083280046181143701	0 68 72 110 168 176 182 198 260 276 282 290 348 386 390 458	1082935871214