Prime p₀= 2448803244182738711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 76 2 28 2 58 2 22 2 (?)
a_n: 0 2 6 8 78 80 156 158 186 188 246 248 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 4 70 76 28 58 22

SPT(16)	2448802679495967059	0 80 114 132 144 158 168 200 222 254 264 278 290 308 342 422	-564686771652
TPT(14)	2448802727039819879	0 2 150 152 198 200 210 212 252 254 318 320 378 380	-517142918832
SPT(16)	2448802796114404601	0 42 48 56 86 92 138 152 156 170 216 222 252 260 266 308	-448068334110
STPT(10)	2448802860119251157	0 2 30 32 42 44 54 56 84 86	-384063487554
STPT(10)	2448802948339652459	0 2 42 44 60 62 78 80 120 122	-295843086252
STPT(10)	2448803218100316377	0 2 24 26 42 44 60 62 84 86	-26082422334
SPT(18)	2448803292187897049	0 20 38 42 48 108 170 174 194 228 248 252 314 374 380 384 402 422	48005158338
SPT(16)	2448803412224997803	0 54 134 188 240 258 266 308 336 378 386 404 456 510 590 644	168042259092
SPT(16)	2448803877865316339	0 2 18 60 90 188 194 212 240 258 264 362 392 434 450 452	633682577628
SPT(16)	2448803903870003803	0 4 36 76 118 120 126 144 190 208 214 216 258 298 330 334	659687265092
STPT(10)	2448804067793855087	0 2 30 32 42 44 54 56 84 86	823611116376