Prime p₀= 2735999743272962807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 124 2 10 2 16 2 82 2 16 2 (?)
a_n: 0 2 84 86 210 212 222 224 240 242 324 326 342 344
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: 344
Found by: JayPi
db: batch=82, k=14, 82 124 10 16 82 16

STPT(10)	2735998356609519047	0 2 54 56 72 74 90 92 144 146	-1386663443760
SPT(16)	2735998373658191951	0 30 66 72 78 96 108 122 156 170 182 200 206 212 248 278	-1369614770856
STPT(10)	2735998783049188211	0 2 36 38 78 80 120 122 156 158	-960223774596
STPT(10)	2735999276455412447	0 2 30 32 42 44 54 56 84 86	-466817550360
SPT(16)	2735999509868187793	0 28 40 70 84 94 118 130 138 150 174 184 198 228 240 268	-233404775014
SPT(16)	2735999546939825851	0 60 112 156 196 208 216 220 258 262 270 282 322 366 418 478	-196333136956
SPT(16)	2735999876676203077	0 42 76 100 120 154 166 180 226 240 252 286 306 330 364 406	133403240270
STPT(12)	2735999940498643067	0 2 12 14 60 62 84 86 132 134 144 146	197225680260
SPT(16)	2736000465093005683	0 6 34 100 108 130 166 184 210 228 264 286 294 360 388 394	721820042876
SPT(16)	2736001132567791149	0 14 42 48 54 62 132 180 182 230 300 308 314 320 348 362	1389294828342
STPT(10)	2736001170635561357	0 2 12 14 42 44 72 74 84 86	1427362598550