Prime p₀= 2080755497953174661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 16 2 22 2 124 2 28 2 10 2 (?)
a_n: 0 2 48 50 66 68 90 92 216 218 246 248 258 260
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: 260
Found by: Landjunge
db: batch=80, k=14, 46 16 22 124 28 10

SPT(16)	2080753564243697641	0 12 18 22 58 70 78 88 240 250 258 270 306 310 316 328	-1933709477020
SPT(16)	2080754226624934577	0 12 14 30 80 90 122 140 204 222 254 264 314 330 332 344	-1271328240084
SPT(16)	2080754533950504541	0 10 12 28 48 132 148 178 180 210 226 310 330 346 348 358	-964002670120
SPT(16)	2080754608591847087	0 26 42 74 86 132 146 152 174 180 194 240 252 284 300 326	-889361327574
STPT(10)	2080754893894151261	0 2 96 98 138 140 180 182 276 278	-604059023400
SPT(16)	2080755286841073383	0 24 38 50 84 90 114 120 128 134 158 164 198 210 224 248	-211112101278
SPT(16)	2080755506286480799	0 18 24 70 144 172 198 240 292 334 360 388 462 508 514 532	8333306138
STPT(10)	2080755660781553057	0 2 30 32 42 44 54 56 84 86	162828378396
SPT(16)	2080756154762393947	0 40 72 90 142 150 166 174 202 210 226 234 286 304 336 376	656809219286
SPT(16)	2080757703501142079	0 12 18 32 38 42 164 212 390 438 560 564 570 584 590 602	2205547967418
STPT(10)	2080757882710290269	0 2 48 50 90 92 132 134 180 182	2384757115608