Prime p₀= 2373437281002951341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 58 2 52 2 64 2 (?)
a_n: 0 2 6 8 48 50 66 68 126 128 180 182 246 248
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: 248
Found by: Landjunge
db: batch=81, k=14, 4 40 16 58 52 64

SPT(16)	2373436557894355697	0 2 66 72 150 156 174 204 212 242 260 266 344 350 414 416	-723108595644
STPT(10)	2373436559633074721	0 2 36 38 78 80 120 122 156 158	-721369876620
SPT(16)	2373436874082671519	0 24 80 92 108 150 168 218 264 314 332 374 390 402 458 482	-406920279822
SPT(16)	2373436877793907379	0 12 24 38 48 60 84 102 110 128 152 164 174 188 200 212	-403209043962
SPT(16)	2373436878567101329	0 10 30 34 42 64 118 120 232 234 288 310 318 322 342 352	-402435850012
SPT(16)	2373437187856692703	0 36 48 70 78 100 106 130 144 168 174 196 204 226 238 274	-93146258638
SPT(16)	2373437835394133413	0 6 24 70 76 90 100 126 148 174 184 198 204 250 268 274	554391182072
TPT(14)	2373437948474803151	0 2 60 62 186 188 336 338 480 482 546 548 630 632	667471851810
SPT(16)	2373438231660570961	0 22 28 66 78 96 108 138 190 220 232 250 262 300 306 328	950657619620
SPT(16)	2373438710491381763	0 14 38 44 48 66 68 90 104 126 128 146 150 156 180 194	1429488430422
TPT(14)	2373438840700266797	0 2 132 134 150 152 252 254 264 266 342 344 414 416	1559697315456