Prime p₀= 2384215844710475327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 40 2 46 2 76 2 172 2 (?)
a_n: 0 2 30 32 102 104 144 146 192 194 270 272 444 446
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: 446
Found by: kashi
db: batch=81, k=14, 28 70 40 46 76 172

SPT(16)	2384214373372695287	0 26 84 102 120 140 162 180 266 284 306 326 344 362 420 446	-1471337780040
SPT(16)	2384214652613437667	0 14 20 56 116 122 174 206 210 242 294 300 360 396 402 416	-1192097037660
STPT(10)	2384215421083213979	0 2 48 50 60 62 72 74 120 122	-423627261348
SPT(16)	2384215513241481047	0 14 32 44 60 62 72 90 116 134 144 146 162 174 192 206	-331468994280
SPT(16)	2384215579792909327	0 24 34 36 70 84 160 166 204 210 286 300 334 336 346 370	-264917566000
SPT(16)	2384215784198398783	0 6 66 70 94 106 166 180 274 288 348 360 384 388 448 454	-60512076544
SPT(16)	2384215918295896231	0 18 30 46 106 120 186 210 226 250 316 330 390 406 418 436	73585420904
STPT(10)	2384216504870226737	0 2 60 62 72 74 84 86 144 146	660159751410
SPT(16)	2384216732386922549	0 20 48 68 78 98 132 134 138 140 174 194 204 224 252 272	887676447222
SPT(16)	2384216784193380989	0 108 128 140 150 188 228 240 242 254 294 332 342 354 374 482	939482905662
SPT(16)	2384216878892854009	0 12 72 78 82 90 114 120 202 208 232 240 244 250 310 322	1034182378682