Prime p₀= 2759721226404746339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 148 2 58 2 52 2 58 2 28 2 (?)
a_n: 0 2 138 140 288 290 348 350 402 404 462 464 492 494
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: 494
Found by: JayPi
db: batch=82, k=14, 136 148 58 52 58 28

SPT(16)	2759720549368066313	0 8 18 68 96 156 168 176 228 236 248 308 336 386 396 404	-677036680026
SPT(16)	2759720605165924957	0 22 30 34 36 64 90 126 280 316 342 370 372 376 384 406	-621238821382
STPT(10)	2759720719907864309	0 2 42 44 60 62 78 80 120 122	-506496882030
STPT(10)	2759720762100714089	0 2 18 20 30 32 42 44 60 62	-464304032250
SPT(16)	2759720941303524889	0 18 48 60 82 120 144 172 210 238 262 300 322 334 364 382	-285101221450
SPT(16)	2759720968881115297	0 10 24 34 76 90 94 100 120 126 130 144 186 196 210 220	-257523631042
STPT(10)	2759721271600711487	0 2 24 26 42 44 60 62 84 86	45195965148
STPT(10)	2759722091357278811	0 2 30 32 78 80 126 128 156 158	864952532472
STPT(10)	2759722244038505519	0 2 42 44 90 92 138 140 180 182	1017633759180
STPT(10)	2759722248104808191	0 2 6 8 18 20 30 32 36 38	1021700061852
STPT(10)	2759722327335387257	0 2 30 32 42 44 54 56 84 86	1100930640918