Prime p₀= 2437387797786397031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 172 2 28 2 28 2 58 2 (?)
a_n: 0 2 6 8 36 38 210 212 240 242 270 272 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 4 28 172 28 28 58

STPT(10)	2437386654524178827	0 2 30 32 42 44 54 56 84 86	-1143262218204
STPT(10)	2437386688062736349	0 2 18 20 30 32 42 44 60 62	-1109723660682
SPT(16)	2437386748492107257	0 60 96 126 140 164 200 216 410 426 462 486 500 530 566 626	-1049294289774
SPT(16)	2437387225634774239	0 10 22 24 78 88 94 208 234 348 354 364 418 420 432 442	-572151622792
STPT(10)	2437387309991463131	0 2 30 32 78 80 126 128 156 158	-487794933900
SPT(16)	2437387332128723459	0 62 92 108 132 158 168 174 218 224 234 260 284 300 330 392	-465657673572
STPT(10)	2437388045500886297	0 2 30 32 42 44 54 56 84 86	247714489266
SPT(16)	2437388421604574567	0 26 44 54 72 90 182 192 194 204 296 314 332 342 360 386	623818177536
SPT(16)	2437388482614845731	0 12 46 66 100 112 142 156 196 210 240 252 286 306 340 352	684828448700
STPT(10)	2437388740436761427	0 2 30 32 42 44 54 56 84 86	942650364396
TPT(14)	2437388794811050889	0 2 12 14 30 32 180 182 210 212 222 224 252 254	997024653858