Prime p₀= 1446247199625241301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 58 2 10 2 40 2 328 2 (?)
a_n: 0 2 66 68 96 98 156 158 168 170 210 212 540 542
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: 542
Found by: Theadalus
db: batch=78, k=14, 64 28 58 10 40 328

TPT(14)	1446246678692078411	0 2 78 80 96 98 120 122 156 158 198 200 210 212	-520933162890
SPT(16)	1446246761854276649	0 24 42 44 78 114 138 152 180 194 218 254 288 290 308 332	-437770964652
SPT(16)	1446246820922359381	0 16 72 100 102 172 190 226 282 318 336 406 408 436 492 508	-378702881920
STPT(10)	1446246863780193089	0 2 18 20 30 32 42 44 60 62	-335845048212
TPT(14)	1446246864929888501	0 2 30 32 60 62 186 188 210 212 240 242 390 392	-334695352800
SPT(16)	1446247036470021131	0 20 42 48 80 140 168 210 320 362 390 450 482 488 510 530	-163155220170
SPT(16)	1446247281417809839	0 82 90 94 112 132 148 192 250 294 310 330 348 352 360 442	81792568538
SPT(16)	1446247350908731633	0 10 28 48 94 96 126 138 196 208 238 240 286 306 324 334	151283490332
STPT(10)	1446247478374075499	0 2 12 14 90 92 168 170 180 182	278748834198
SPT(16)	1446247538102174617	0 12 40 42 46 52 60 112 270 322 330 336 340 342 370 382	338476933316
SPT(16)	1446247564732959853	0 18 34 40 54 60 88 118 126 156 184 190 204 210 226 244	365107718552