Prime p₀= 3028515522405297311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 64 2 52 2 34 2 10 2 (?)
a_n: 0 2 30 32 90 92 156 158 210 212 246 248 258 260
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: 260
Found by: Asgard2022
db: batch=82, k=14, 28 58 64 52 34 10

SPT(20)	3028513837367550907	0 46 60 72 84 96 112 114 126 130 156 160 172 174 190 202 214 226 240 286	-1685037746404
TPT(14)	3028514182626073859	0 2 12 14 18 20 42 44 90 92 132 134 180 182	-1339779223452
STPT(10)	3028514502732025031	0 2 6 8 48 50 90 92 96 98	-1019673272280
STPT(10)	3028514598682376987	0 2 30 32 42 44 54 56 84 86	-923722920324
SPT(16)	3028514633897875321	0 78 106 108 118 150 190 216 280 306 346 378 388 390 418 496	-888507421990
SPT(16)	3028515049213023883	0 24 28 36 60 90 126 130 234 238 274 304 328 336 340 364	-473192273428
SPT(16)	3028516007386354351	0 6 60 76 102 130 136 192 196 252 258 286 312 328 382 388	484981057040
SPT(16)	3028516410576664681	0 46 60 66 78 90 102 112 126 136 148 160 172 178 192 238	888171367370
SPT(16)	3028516736172177079	0 4 30 34 70 88 120 148 294 322 354 372 408 412 438 442	1213766879768
SPT(16)	3028516813898691361	0 30 58 82 138 180 240 250 270 280 340 382 438 462 490 520	1291493394050
SPT(16)	3028517496358954751	0 48 56 60 72 86 110 156 242 288 312 326 338 342 350 398	1973953657440