Prime p₀= 1273408028257449521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 154 2 28 2 82 2 4 2 88 2 (?)
a_n: 0 2 150 152 306 308 336 338 420 422 426 428 516 518
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: 518
Found by: HenkM
db: batch=77, k=14, 148 154 28 82 4 88

STPT(10)	1273407201936724241	0 2 30 32 78 80 126 128 156 158	-826320725280
TPT(14)	1273407279366545171	0 2 78 80 90 92 210 212 246 248 258 260 288 290	-748890904350
SPT(16)	1273407396207707471	0 12 110 116 168 182 188 270 308 390 396 410 462 468 566 578	-632049742050
SPT(16)	1273407597221227817	0 20 24 44 56 110 114 140 156 182 186 240 252 272 276 296	-431036221704
STPT(10)	1273407727882420589	0 2 18 20 30 32 42 44 60 62	-300375028932
STPT(10)	1273407740490645167	0 2 42 44 72 74 102 104 144 146	-287766804354
SPT(16)	1273408417952499827	0 14 50 66 74 92 96 162 164 230 234 252 260 276 312 326	389695050306
SPT(16)	1273409514982154579	0 12 32 54 60 98 108 194 198 284 294 332 338 360 380 392	1486724705058
STPT(10)	1273409603443050497	0 2 12 14 72 74 132 134 144 146	1575185600976
SPT(16)	1273409618620579339	0 18 40 48 58 60 70 78 124 132 142 144 154 162 184 202	1590363129818
STPT(10)	1273409652382044941	0 2 30 32 78 80 126 128 156 158	1624124595420