Prime p₀= 3028484553540764819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 172 2 124 2 88 2 22 2 (?)
a_n: 0 2 42 44 48 50 222 224 348 350 438 440 462 464
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: 464
Found by: Asgard2022
db: batch=82, k=14, 40 4 172 124 88 22

SPT(16)	3028482800020888027	0 10 24 30 72 100 130 180 184 234 264 292 334 340 354 364	-1753519876792
SPT(16)	3028482931540303493	0 6 20 26 110 138 158 168 188 198 218 246 330 336 350 356	-1622000461326
SPT(16)	3028483122194618989	0 10 40 82 84 124 150 154 300 304 330 370 372 414 444 454	-1431346145830
TPT(14)	3028483233667293371	0 2 30 32 138 140 168 170 180 182 210 212 228 230	-1319873471448
SPT(16)	3028483850244220441	0 12 22 28 66 106 132 162 166 196 222 262 300 306 316 328	-703296544378
STPT(10)	3028484280287266049	0 2 18 20 30 32 42 44 60 62	-273253498770
SPT(16)	3028484924939365319	0 44 50 74 114 140 224 284 288 348 432 458 498 522 528 572	371398600500
SPT(16)	3028485710163040601	0 26 38 48 92 108 110 162 206 258 260 276 320 330 342 368	1156622275782
STPT(10)	3028485867023817749	0 2 48 50 90 92 132 134 180 182	1313483052930
STPT(10)	3028485944785379987	0 2 30 32 42 44 54 56 84 86	1391244615168
SPT(16)	3028486380169434787	0 4 54 64 66 70 106 114 136 144 180 184 186 196 246 250	1826628669968