Prime p₀= 732782694851940851 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 4 2 58 2 10 2 16 2 (?)
a_n: 0 2 30 32 60 62 66 68 126 128 138 140 156 158
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: 158
Found by: Theadalus
db: batch=73, k=14, 28 28 4 58 10 16

STPT(10)	732781684243482059	0 2 18 20 30 32 42 44 60 62	-1010608458792
SPT(16)	732781690578938839	0 18 24 48 94 142 144 160 192 208 210 258 304 328 334 352	-1004273002012
SPT(16)	732782401302267289	0 4 10 30 42 52 64 70 102 108 120 130 142 162 168 172	-293549673562
SPT(16)	732782420420014781	0 12 42 62 92 120 182 270 302 390 452 480 510 530 560 572	-274431926070
STPT(10)	732782449282883897	0 2 42 44 72 74 102 104 144 146	-245569056954
STPT(10)	732782630763900329	0 2 18 20 30 32 42 44 60 62	-64088040522
SPT(16)	732782737317905249	0 44 98 134 150 170 192 204 308 320 342 362 378 414 468 512	42465964398
SPT(16)	732783156639531169	0 34 42 102 174 204 240 298 324 382 418 448 520 580 588 622	461787590318
SPT(16)	732783261980482831	0 16 28 42 66 72 88 130 138 180 196 202 226 240 252 268	567128541980
SPT(16)	732783325020229487	0 6 20 36 54 102 132 170 186 224 254 302 320 336 350 356	630168288636
TPT(14)	732783425328997241	0 2 36 38 138 140 168 170 180 182 246 248 276 278	730477056390