Prime p₀= 1273559535322524311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 100 2 94 2 28 2 52 2 (?)
a_n: 0 2 30 32 138 140 240 242 336 338 366 368 420 422
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: 422
Found by: HenkM
db: batch=77, k=14, 28 106 100 94 28 52

SPT(16)	1273558623306269701	0 16 18 48 90 172 256 286 312 342 426 508 550 580 582 598	-912016254610
STPT(10)	1273558629272763311	0 2 30 32 78 80 126 128 156 158	-906049761000
SPT(16)	1273558748638667171	0 18 20 50 62 108 132 140 150 158 182 228 240 270 272 290	-786683857140
SPT(16)	1273558799712045829	0 12 72 90 100 124 142 154 210 222 240 264 274 292 352 364	-735610478482
SPT(16)	1273559027158195067	0 12 36 42 50 134 146 176 180 210 222 306 314 320 344 356	-508164329244
SPT(18)	1273559070622706731	0 22 28 48 78 162 166 180 208 240 268 282 286 370 400 420 426 448	-464699817580
SPT(16)	1273559557116909409	0 12 28 54 78 90 114 124 198 208 232 244 268 294 310 322	21794385098
STPT(10)	1273559675498835227	0 2 24 26 42 44 60 62 84 86	140176310916
TPT(14)	1273560038177176271	0 2 18 20 30 32 90 92 156 158 198 200 210 212	502854651960
TPT(14)	1273560118998301991	0 2 36 38 96 98 108 110 138 140 180 182 330 332	583675777680
SPT(16)	1273560165118054733	0 6 30 38 56 86 108 126 278 296 318 348 366 374 398 404	629795530422