Prime p₀= 2463410233162979141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 262 2 76 2 46 2 10 2 (?)
a_n: 0 2 30 32 186 188 450 452 528 530 576 578 588 590
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: 590
Found by: JayPi
db: batch=82, k=14, 28 154 262 76 46 10

SPT(16)	2463408302582517959	0 8 42 74 102 104 110 114 158 162 168 170 198 230 264 272	-1930580461182
SPT(16)	2463408365158916809	0 30 40 54 64 102 118 204 208 294 310 348 358 372 382 412	-1868004062332
STPT(10)	2463408668350935047	0 2 12 14 42 44 72 74 84 86	-1564812044094
SPT(16)	2463408702946584131	0 8 72 92 120 156 182 200 228 246 272 308 336 356 420 428	-1530216395010
STPT(10)	2463410136943937549	0 2 18 20 30 32 42 44 60 62	-96219041592
STPT(10)	2463410198119183007	0 2 30 32 60 62 90 92 120 122	-35043796134
SPT(16)	2463411202525149757	0 12 40 46 60 72 96 112 144 160 184 196 210 216 244 256	969362170616
SPT(16)	2463411431596665853	0 4 6 28 36 118 130 150 154 174 186 268 276 298 300 304	1198433686712
SPT(16)	2463411662503531477	0 12 52 64 82 114 150 166 180 196 232 264 282 294 334 346	1429340552336
STPT(10)	2463411831220596461	0 2 6 8 18 20 30 32 36 38	1598057617320
STPT(10)	2463412645654974197	0 2 30 32 60 62 90 92 120 122	2412491995056