Prime p₀= 2556345379841020769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 28 2 58 2 10 2 10 2 (?)
a_n: 0 2 72 74 108 110 138 140 198 200 210 212 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 70 34 28 58 10 10

STPT(10)	2556344104355458127	0 2 60 62 72 74 84 86 144 146	-1275485562642
SPT(18)	2556344201989003073	0 8 14 20 26 90 156 224 240 284 300 368 434 498 504 510 516 524	-1177852017696
SPT(16)	2556344274476324599	0 88 114 138 144 148 180 208 270 298 330 334 340 364 390 478	-1105364696170
STPT(10)	2556344477143069367	0 2 60 62 72 74 84 86 144 146	-902697951402
SPT(16)	2556344597497422233	0 14 54 68 74 78 80 84 134 138 140 144 150 164 204 218	-782343598536
STPT(10)	2556344847233842667	0 2 30 32 72 74 114 116 144 146	-532607178102
SPT(16)	2556345405229987037	0 20 24 36 90 132 150 164 252 266 284 326 380 392 396 416	25388966268
STPT(10)	2556345902829298289	0 2 48 50 90 92 132 134 180 182	522988277520
SPT(16)	2556346225927577521	0 22 42 58 72 100 162 180 190 208 270 298 312 328 348 370	846086556752
SPT(16)	2556346715167957381	0 18 36 46 60 96 102 168 250 316 322 358 372 382 400 418	1335326936612
SPT(16)	2556347024944862777	0 12 60 62 66 96 144 146 270 272 320 350 354 356 404 416	1645103842008