Prime p₀= 2712394214837504471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 112 2 46 2 16 2 22 2 (?)
a_n: 0 2 66 68 126 128 240 242 288 290 306 308 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 64 58 112 46 16 22

SPT(16)	2712392905293760979	0 14 42 50 78 104 108 168 254 314 318 344 372 380 408 422	-1309543743492
SPT(16)	2712393083031794821	0 10 22 36 126 136 196 220 282 306 366 376 466 480 492 502	-1131805709650
STPT(10)	2712393322090414481	0 2 30 32 78 80 126 128 156 158	-892747089990
SPT(16)	2712393354432861139	0 28 54 60 108 112 118 138 244 264 270 274 322 328 354 382	-860404643332
STPT(10)	2712393736825936349	0 2 18 20 30 32 42 44 60 62	-478011568122
SPT(16)	2712393914188934939	0 8 20 78 90 98 108 110 132 134 144 152 164 222 234 242	-300648569532
STPT(10)	2712394234786618049	0 2 48 50 90 92 132 134 180 182	19949113578
STPT(10)	2712394556224595927	0 2 24 26 42 44 60 62 84 86	341387091456
SPT(16)	2712394595079085303	0 10 28 48 118 178 184 234 244 294 300 360 430 450 468 478	380241580832
STPT(10)	2712394740598160879	0 2 48 50 60 62 72 74 120 122	525760656408
TPT(14)	2712395021357777279	0 2 12 14 18 20 102 104 138 140 192 194 210 212	806520272808