Prime p₀= 1426002332176746659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 88 2 142 2 28 2 76 2 (?)
a_n: 0 2 12 14 18 20 108 110 252 254 282 284 360 362
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: 362
Found by: Theadalus
db: batch=78, k=14, 10 4 88 142 28 76

SPT(16)	1426001390586865831	0 6 12 22 36 72 96 118 120 142 166 202 216 226 232 238	-941589880828
SPT(16)	1426001640495975581	0 2 80 98 126 146 150 156 272 278 282 302 330 348 426 428	-691680771078
SPT(16)	1426001727902618821	0 40 76 78 100 148 180 190 258 268 300 348 370 372 408 448	-604274127838
STPT(12)	1426001844575693477	0 2 24 26 30 32 234 236 240 242 264 266	-487601053182
TPT(14)	1426002188525466989	0 2 108 110 138 140 162 164 222 224 390 392 468 470	-143651279670
STPT(10)	1426002328190420579	0 2 18 20 30 32 42 44 60 62	-3986326080
SPT(16)	1426002596542648417	0 72 102 124 144 192 222 306 310 394 424 472 492 514 544 616	264365901758
SPT(16)	1426002626824135669	0 30 88 114 130 168 222 262 270 310 364 402 418 444 502 532	294647389010
STPT(10)	1426002685505085041	0 2 6 8 48 50 90 92 96 98	353328338382
STPT(10)	1426002957753374849	0 2 30 32 60 62 90 92 120 122	625576628190
SPT(16)	1426003141591413173	0 38 54 138 150 206 246 260 294 308 348 404 416 500 516 554	809414666514