Prime p₀= 2276459820950427599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 76 2 28 2 28 2 58 2 (?)
a_n: 0 2 12 14 102 104 180 182 210 212 240 242 300 302
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: 302
Found by: JayPi
db: batch=81, k=14, 10 88 76 28 28 58

SPT(16)	2276458818561710413	0 16 36 60 88 100 126 168 208 250 276 288 316 340 360 376	-1002388717186
SPT(16)	2276458967198848547	0 36 152 194 216 222 224 276 290 342 344 350 372 414 530 566	-853751579052
SPT(16)	2276459483433309703	0 6 16 28 40 48 78 90 106 118 148 156 168 180 190 196	-337517117896
STPT(10)	2276459588033524637	0 2 42 44 72 74 102 104 144 146	-232916902962
SPT(16)	2276459689372842313	0 36 48 58 70 190 286 300 316 330 426 546 558 568 580 616	-131577585286
STPT(10)	2276459790809599271	0 2 30 32 60 62 90 92 120 122	-30140828328
TPT(14)	2276460036326762519	0 2 78 80 102 104 198 200 228 230 270 272 288 290	215376334920
TPT(14)	2276460064260654971	0 2 96 98 156 158 228 230 336 338 420 422 450 452	243310227372
SPT(16)	2276460754016316221	0 18 30 32 56 60 68 90 98 120 128 132 156 158 170 188	933065888622
STPT(10)	2276460944516030939	0 2 18 20 30 32 42 44 60 62	1123565603340
SPT(16)	2276460953274245299	0 4 22 28 42 60 64 130 132 198 202 220 234 240 258 262	1132323817700