Prime p₀= 2627303611276505867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 52 2 106 2 40 2 (?)
a_n: 0 2 30 32 54 56 60 62 114 116 222 224 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 28 22 4 52 106 40

TPT(14)	2627302608962440247	0 2 24 26 102 104 114 116 144 146 180 182 192 194	-1002314065620
SPT(16)	2627302621832990401	0 42 58 66 76 82 108 112 156 160 186 192 202 210 226 268	-989443515466
STPT(10)	2627302702721382107	0 2 90 92 102 104 114 116 204 206	-908555123760
STPT(12)	2627303166991037957	0 2 30 32 42 44 102 104 114 116 144 146	-444285467910
TPT(14)	2627303198892831257	0 2 30 32 42 44 54 56 162 164 192 194 210 212	-412383674610
STPT(10)	2627303491731307061	0 2 30 32 78 80 126 128 156 158	-119545198806
SPT(16)	2627303919358027417	0 40 76 100 132 154 210 214 252 256 312 334 366 390 426 466	308081521550
SPT(16)	2627304008377673381	0 42 60 72 92 102 162 168 320 326 386 396 416 428 446 488	397101167514
SPT(16)	2627304243785350289	0 2 12 84 108 150 188 198 224 234 272 314 338 410 420 422	632508844422
TPT(14)	2627304468638234237	0 2 30 32 144 146 240 242 270 272 312 314 360 362	857361728370
STPT(10)	2627304652563268199	0 2 18 20 30 32 42 44 60 62	1041286762332