Prime p₀= 4364287754040756929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 10 2 106 2 76 2 22 2 (?)
a_n: 0 2 78 80 90 92 102 104 210 212 288 290 312 314
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: 314
Found by: vanos0512
db: batch=85, k=14, 76 10 10 106 76 22

STPT(10)	4364285142904187771	0 2 6 8 48 50 90 92 96 98	-2611136569158
STPT(10)	4364285258184699899	0 2 18 20 60 62 102 104 120 122	-2495856057030
STPT(10)	4364285818407504887	0 2 30 32 102 104 174 176 204 206	-1935633252042
SPT(16)	4364286501829369837	0 12 42 64 82 102 124 130 144 150 172 192 210 232 262 274	-1252211387092
SPT(16)	4364286930851576279	0 12 14 38 80 84 144 150 152 158 218 222 264 288 290 302	-823189180650
SPT(16)	4364287529185132819	0 28 40 84 90 102 112 138 154 180 190 202 208 252 264 292	-224855624110
SPT(16)	4364288123180021801	0 30 42 116 120 156 188 212 216 240 272 308 312 386 398 428	369139264872
SPT(16)	4364288157376094953	0 40 54 76 96 130 166 174 340 348 384 418 438 460 474 514	403335338024
STPT(10)	4364288252026405007	0 2 30 32 42 44 54 56 84 86	497985648078
SPT(16)	4364289205656240857	0 54 90 126 152 174 176 266 300 390 392 414 440 476 512 566	1451615483928
SPT(16)	4364289206527670179	0 28 40 70 88 90 100 144 238 282 292 294 312 342 354 382	1452486913250