Prime p₀= 2881750375730763611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 118 2 142 2 76 2 40 2 46 2 (?)
a_n: 0 2 6 8 126 128 270 272 348 350 390 392 438 440
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: 440
Found by: Roadranner
db: batch=82, k=14, 4 118 142 76 40 46

SPT(16)	2881748224701689621	0 6 20 26 48 62 102 210 248 356 396 410 432 438 452 458	-2151029073990
SPT(16)	2881748338220501741	0 6 12 50 56 78 92 96 182 186 200 222 228 266 272 278	-2037510261870
TPT(14)	2881748988248681909	0 2 72 74 138 140 210 212 330 332 348 350 372 374	-1387482081702
TPT(14)	2881749406673329019	0 2 42 44 48 50 78 80 102 104 198 200 300 302	-969057434592
SPT(16)	2881749722159864201	0 18 62 86 120 150 218 228 230 240 308 338 372 396 440 458	-653570899410
STPT(10)	2881750286762050181	0 2 30 32 78 80 126 128 156 158	-88968713430
SPT(16)	2881751373426929603	0 6 36 56 140 146 150 200 210 260 264 270 354 374 404 410	997696165992
STPT(10)	2881751496029058839	0 2 18 20 30 32 42 44 60 62	1120298295228
SPT(16)	2881751648128045493	0 8 84 128 218 230 240 254 300 314 324 336 426 470 546 554	1272397281882
SPT(16)	2881751803486322831	0 12 26 80 108 126 150 152 276 278 302 320 348 402 416 428	1427755559220
SPT(16)	2881752053156917357	0 30 40 42 102 106 112 172 240 300 306 310 370 372 382 412	1677426153746