Prime p₀= 2357636827477760819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 28 2 64 2 10 2 40 2 (?)
a_n: 0 2 18 20 72 74 102 104 168 170 180 182 222 224
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: 224
Found by: Donn Pike (USAF Ret)
db: batch=81, k=14, 16 52 28 64 10 40

STPT(10)	2357636011148779409	0 2 42 44 180 182 318 320 360 362	-816328981410
SPT(16)	2357636015215589957	0 14 66 90 102 114 144 170 186 212 242 254 266 290 342 356	-812262170862
SPT(16)	2357636263070892533	0 6 14 104 116 120 156 158 186 188 224 228 240 330 338 344	-564406868286
SPT(16)	2357636556907657741	0 16 22 42 78 88 108 118 270 280 300 310 346 366 372 388	-270570103078
SPT(22)	2357636557069654351	0 46 60 72 82 88 100 126 150 220 222 226 228 298 322 348 360 366 376 388 402 448	-270408106468
SPT(16)	2357636754771755099	0 2 14 24 80 90 132 168 194 230 272 282 338 348 360 362	-72706005720
STPT(10)	2357636955289484777	0 2 30 32 42 44 54 56 84 86	127811723958
STPT(10)	2357637002520771911	0 2 36 38 78 80 120 122 156 158	175043011092
SPT(16)	2357637264899953273	0 6 66 76 100 136 138 178 198 238 240 276 300 310 370 376	437422192454
STPT(10)	2357637501587153321	0 2 6 8 48 50 90 92 96 98	674109392502
STPT(10)	2357637753854154851	0 2 30 32 78 80 126 128 156 158	926376394032