Prime p₀= 2013688283583563747 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 118 2 34 2 28 2 58 2 22 2 (?)
a_n: 0 2 24 26 144 146 180 182 210 212 270 272 294 296
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: 296
Found by: Chooka
db: batch=80, k=14, 22 118 34 28 58 22

SPT(16)	2013687616779312883	0 40 58 66 78 84 190 210 274 294 400 406 418 426 444 484	-666804250864
TPT(14)	2013687683074518419	0 2 132 134 150 152 210 212 330 332 372 374 378 380	-600509045328
STPT(10)	2013687720102950207	0 2 30 32 42 44 54 56 84 86	-563480613540
SPT(16)	2013688064836718951	0 2 66 80 90 102 108 120 128 140 146 158 168 182 246 248	-218746844796
SPT(16)	2013688192056260557	0 22 24 70 76 84 112 120 136 144 172 180 186 232 234 256	-91527303190
STPT(10)	2013688227553887587	0 2 42 44 132 134 222 224 264 266	-56029676160
STPT(10)	2013688316750920169	0 2 42 44 90 92 138 140 180 182	33167356422
SPT(16)	2013688319493529597	0 10 24 94 132 154 190 196 360 366 402 424 462 532 546 556	35909965850
STPT(10)	2013688842442578347	0 2 54 56 72 74 90 92 144 146	558859014600
TPT(14)	2013689008165547267	0 2 42 44 90 92 144 146 240 242 252 254 294 296	724581983520
SPT(16)	2013689022508827331	0 10 16 30 52 72 148 178 180 210 286 306 328 342 348 358	738925263584