Prime p₀= 2627304468638234237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 112 2 94 2 28 2 40 2 46 2 (?)
a_n: 0 2 30 32 144 146 240 242 270 272 312 314 360 362
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: 362
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 112 94 28 40 46

TPT(14)	2627303198892831257	0 2 30 32 42 44 54 56 162 164 192 194 210 212	-1269745402980
STPT(10)	2627303491731307061	0 2 30 32 78 80 126 128 156 158	-976906927176
TPT(14)	2627303611276505867	0 2 30 32 54 56 60 62 114 116 222 224 264 266	-857361728370
SPT(16)	2627303919358027417	0 40 76 100 132 154 210 214 252 256 312 334 366 390 426 466	-549280206820
SPT(16)	2627304008377673381	0 42 60 72 92 102 162 168 320 326 386 396 416 428 446 488	-460260560856
SPT(16)	2627304243785350289	0 2 12 84 108 150 188 198 224 234 272 314 338 410 420 422	-224852883948
STPT(10)	2627304652563268199	0 2 18 20 30 32 42 44 60 62	183925033962
SPT(16)	2627304664564889201	0 8 12 26 50 98 126 128 180 182 210 258 282 296 300 308	195926654964
SPT(16)	2627304813530158693	0 24 46 70 138 180 210 214 270 274 304 346 414 438 460 484	344891924456
SPT(16)	2627304818772679967	0 32 192 206 216 230 260 264 272 276 306 320 330 344 504 536	350134445730
SPT(16)	2627305337889871343	0 68 78 80 96 110 126 138 146 158 174 188 204 206 216 284	869251637106