Prime p₀= 2736647527544761979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 10 2 28 2 70 2 124 2 (?)
a_n: 0 2 30 32 108 110 120 122 150 152 222 224 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 28 76 10 28 70 124

TPT(14)	2736644391909518771	0 2 36 38 48 50 90 92 126 128 168 170 420 422	-3135635243208
STPT(10)	2736644582710642997	0 2 30 32 42 44 54 56 84 86	-2944834118982
STPT(10)	2736645155627039009	0 2 90 92 150 152 210 212 300 302	-2371917722970
SPT(16)	2736645163217587879	0 90 112 124 130 162 168 180 202 214 220 252 258 270 292 382	-2364327174100
SPT(16)	2736646045629495227	0 2 44 74 92 114 134 170 216 252 272 294 312 342 384 386	-1481915266752
SPT(16)	2736647147160023887	0 6 34 66 72 82 84 96 130 142 144 154 160 192 220 226	-380384738092
SPT(16)	2736647648369879941	0 6 58 72 78 90 112 168 190 246 268 280 286 300 352 358	120825117962
SPT(16)	2736647672104389889	0 30 40 42 108 112 118 132 160 174 180 184 250 252 262 292	144559627910
SPT(16)	2736647679906581239	0 78 94 108 142 168 178 184 198 204 214 240 274 288 304 382	152361819260
STPT(10)	2736647857130979509	0 2 48 50 90 92 132 134 180 182	329586217530
SPT(16)	2736647983506000731	0 6 12 48 62 66 98 110 168 180 212 216 230 266 272 278	455961238752