Prime p₀= 2308522360159361147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 124 2 28 2 208 2 10 2 (?)
a_n: 0 2 60 62 114 116 240 242 270 272 480 482 492 494
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: 494
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 52 124 28 208 10

STPT(10)	2308520687998302641	0 2 6 8 108 110 210 212 216 218	-1672161058506
SPT(16)	2308521167850857501	0 26 38 66 192 246 248 302 516 570 572 626 752 780 792 818	-1192308503646
STPT(10)	2308521197217438479	0 2 12 14 90 92 168 170 180 182	-1162941922668
STPT(12)	2308521993666255749	0 2 18 20 42 44 48 50 72 74 90 92	-366493105398
SPT(16)	2308522005937068331	0 76 106 132 156 172 286 300 322 336 450 466 490 516 546 622	-354222292816
SPT(16)	2308522074571215187	0 10 12 24 54 60 72 100 126 154 166 172 202 214 216 226	-285588145960
SPT(16)	2308522425217236673	0 34 40 70 78 118 124 168 280 324 330 370 378 408 414 448	65057875526
STPT(10)	2308523046027607229	0 2 18 20 30 32 42 44 60 62	685868246082
SPT(16)	2308523167519246631	0 50 78 126 132 188 210 228 230 248 270 326 332 380 408 458	807359885484
STPT(10)	2308523301719695757	0 2 12 14 72 74 132 134 144 146	941560334610
SPT(16)	2308523337464916599	0 14 54 80 84 98 132 140 222 230 264 278 282 308 348 362	977305555452