Prime p₀= 2688699773570845247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 64 2 178 2 40 2 16 2 (?)
a_n: 0 2 12 14 54 56 120 122 300 302 342 344 360 362
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: 362
Found by: conf [MM]
db: batch=82, k=14, 10 40 64 178 40 16

SPT(16)	2688698655943123553	0 6 20 44 60 78 98 144 230 276 296 314 330 354 368 374	-1117627721694
SPT(16)	2688698747982174049	0 90 94 114 132 154 198 210 232 244 288 310 328 348 352 442	-1025588671198
SPT(20)	2688699002030901751	0 30 42 66 78 106 162 178 210 232 246 268 300 316 372 400 412 436 448 478	-771539943496
SPT(16)	2688699116646274847	0 12 26 44 56 62 152 164 222 234 324 330 342 360 374 386	-656924570400
SPT(13)	2688699355255225789	0 12 42 72 114 210 222 234 330 372 402 432 444	-418315619458
SPT(16)	2688699562551691427	0 44 56 92 114 134 144 176 180 212 222 242 264 300 312 356	-211019153820
SPT(16)	2688700157751653741	0 38 72 86 122 132 146 152 276 282 296 306 342 356 390 428	384180808494
SPT(16)	2688700159789055501	0 8 12 26 78 122 146 168 200 222 246 290 342 356 360 368	386218210254
STPT(12)	2688700333938792491	0 2 36 38 48 50 168 170 180 182 216 218	560367947244
SPT(16)	2688700471033668041	0 12 20 60 62 66 86 90 122 126 146 150 152 192 200 212	697462822794
STPT(10)	2688701140820086517	0 2 30 32 72 74 114 116 144 146	1367249241270