Prime p₀= 2307216548998445429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 136 2 40 2 16 2 (?)
a_n: 0 2 42 44 48 50 90 92 228 230 270 272 288 290
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: 290
Found by: Orange Kid
db: batch=81, k=14, 40 4 40 136 40 16

STPT(10)	2307214386332029817	0 2 24 26 42 44 60 62 84 86	-2162666415612
SPT(16)	2307214941976601413	0 4 70 78 96 108 130 150 184 204 226 238 256 264 330 334	-1607021844016
SPT(16)	2307215631233365799	0 30 84 90 122 144 168 200 342 374 398 420 452 458 512 542	-917765079630
SPT(16)	2307215737718096629	0 28 40 78 84 90 100 138 184 222 232 238 244 282 294 322	-811280348800
STPT(10)	2307216097826529599	0 2 48 50 90 92 132 134 180 182	-451171915830
SPT(16)	2307216414159102763	0 16 36 64 66 76 78 136 258 316 318 328 330 358 378 394	-134839342666
SPT(16)	2307216730831325821	0 22 58 60 88 148 160 162 208 210 222 282 310 312 348 370	181832880392
SPT(16)	2307216772222950101	0 12 48 50 86 90 128 132 176 180 218 222 258 260 296 308	223224504672
SPT(16)	2307216930585118511	0 38 60 78 86 98 116 168 200 252 270 282 290 308 330 368	381586673082
STPT(10)	2307217004042952887	0 2 30 32 42 44 54 56 84 86	455044507458
SPT(16)	2307217161811911137	0 24 50 54 126 132 174 176 180 182 224 230 302 306 332 356	612813465708