Prime p₀= 2239096723675545659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 118 2 88 2 40 2 76 2 (?)
a_n: 0 2 30 32 48 50 168 170 258 260 300 302 378 380
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: 380
Found by: Skyman
db: batch=81, k=14, 28 16 118 88 40 76

SPT(16)	2239095629166372703	0 34 60 94 150 160 166 244 276 354 360 370 426 460 486 520	-1094509172956
SPT(16)	2239095790348794691	0 6 18 46 90 96 100 132 136 168 172 178 222 250 262 268	-933326750968
SPT(16)	2239096016774889631	0 16 42 46 76 78 142 240 328 426 490 492 522 526 552 568	-706900656028
SPT(16)	2239096186218161051	0 8 18 20 48 62 90 108 200 218 246 260 288 290 300 308	-537457384608
STPT(10)	2239096435168734221	0 2 90 92 150 152 210 212 300 302	-288506811438
STPT(10)	2239096559132023049	0 2 18 20 30 32 42 44 60 62	-164543522610
SPT(16)	2239096849298708177	0 6 20 42 74 80 104 146 210 252 276 282 314 336 350 356	125623162518
STPT(10)	2239097014150628309	0 2 18 20 30 32 42 44 60 62	290475082650
STPT(10)	2239097302471828031	0 2 36 38 78 80 120 122 156 158	578796282372
STPT(10)	2239097311846193801	0 2 30 32 60 62 90 92 120 122	588170648142
STPT(10)	2239097423213535527	0 2 24 26 42 44 60 62 84 86	699537989868