Prime p₀= 2617396790295812321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 46 2 10 2 16 2 10 2 (?)
a_n: 0 2 66 68 108 110 156 158 168 170 186 188 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 64 40 46 10 16 10

SPT(16)	2617395244791122561	0 78 108 120 122 132 146 156 272 282 296 306 308 320 350 428	-1545504689760
SPT(16)	2617395529478942353	0 78 94 96 138 150 168 180 304 316 334 346 388 390 406 484	-1260816869968
SPT(16)	2617395966377963809	0 24 48 54 58 100 148 184 258 294 342 384 388 394 418 442	-823917848512
STPT(10)	2617396043964688499	0 2 42 44 60 62 78 80 120 122	-746331123822
SPT(16)	2617396645850490073	0 6 48 78 100 114 138 168 196 226 250 264 286 316 358 364	-144445322248
STPT(10)	2617396680499846781	0 2 6 8 48 50 90 92 96 98	-109795965540
STPT(10)	2617396839441737567	0 2 30 32 42 44 54 56 84 86	49145925246
STPT(10)	2617396870156776317	0 2 30 32 42 44 54 56 84 86	79860963996
SPT(16)	2617396870245472129	0 12 84 112 180 210 220 234 268 282 292 322 390 418 490 502	79949659808
SPT(16)	2617397000694414989	0 50 72 128 134 138 144 164 198 218 224 228 234 290 312 362	210398602668
SPT(16)	2617397137563681929	0 8 24 30 80 92 102 108 134 140 150 162 212 218 234 242	347267869608