Prime p₀= 2712451556714377559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 34 2 52 2 4 2 10 2 (?)
a_n: 0 2 102 104 132 134 168 170 222 224 228 230 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 100 28 34 52 4 10

STPT(12)	2712450009284226311	0 2 6 8 48 50 198 200 240 242 246 248	-1547430151248
STPT(10)	2712450243694650461	0 2 36 38 78 80 120 122 156 158	-1313019727098
STPT(10)	2712450490458478697	0 2 30 32 72 74 114 116 144 146	-1066255898862
SPT(16)	2712451037053572943	0 34 46 64 78 198 204 226 258 280 286 406 420 438 450 484	-519660804616
SPT(16)	2712451399545955523	0 60 74 96 108 110 164 186 218 240 294 296 308 330 344 404	-157168422036
STPT(10)	2712451526745676097	0 2 42 44 132 134 222 224 264 266	-29968701462
SPT(16)	2712452152720955129	0 2 24 30 38 44 50 62 150 162 168 174 182 188 210 212	596006577570
SPT(13)	2712452338312334437	0 30 54 84 96 156 180 204 264 276 306 330 360	781597956878
SPT(16)	2712452888437943099	0 18 38 72 98 102 150 168 242 260 308 312 338 372 392 410	1331723565540
SPT(16)	2712453279981975601	0 40 42 78 100 106 126 168 220 262 282 288 310 346 348 388	1723267598042
SPT(16)	2712454350065416139	0 2 42 50 80 110 138 248 252 362 390 420 450 458 498 500	2793351038580