Prime p₀= 2479562700186430511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 64 2 10 2 28 2 208 2 (?)
a_n: 0 2 48 50 120 122 186 188 198 200 228 230 438 440
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: Coleslaw
db: batch=82, k=14, 46 70 64 10 28 208

TPT(14)	2479561454034784121	0 2 30 32 36 38 60 62 168 170 186 188 198 200	-1246151646390
STPT(10)	2479561694365595141	0 2 30 32 78 80 126 128 156 158	-1005820835370
STPT(10)	2479561769311703771	0 2 36 38 78 80 120 122 156 158	-930874726740
STPT(10)	2479562009095081787	0 2 30 32 60 62 90 92 120 122	-691091348724
SPT(16)	2479562276859130139	0 20 42 84 120 140 144 158 204 218 222 242 278 320 342 362	-423327300372
SPT(16)	2479562559339007529	0 74 92 102 104 140 162 170 204 212 234 270 272 282 300 374	-140847422982
SPT(16)	2479562753906674441	0 12 22 40 52 82 106 148 180 222 246 276 288 306 316 328	53720243930
STPT(10)	2479563122827162049	0 2 18 20 30 32 42 44 60 62	422640731538
SPT(16)	2479563172623033881	0 38 72 80 128 138 158 168 182 192 212 222 270 278 312 350	472436603370
STPT(10)	2479563417757672187	0 2 54 56 132 134 210 212 264 266	717571241676
STPT(10)	2479563674422783979	0 2 30 32 60 62 90 92 120 122	974236353468