Prime p₀= 2016352638551054807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 118 2 16 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 132 134 150 152 174 176 222 224 234 236
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: 236
Found by: Landjunge
db: batch=80, k=14, 10 118 16 22 46 10

STPT(10)	2016350818885885421	0 2 36 38 78 80 120 122 156 158	-1819665169386
STPT(10)	2016350820431998847	0 2 24 26 42 44 60 62 84 86	-1818119055960
SPT(16)	2016351521298467371	0 16 90 156 198 238 256 258 280 282 300 340 382 448 522 538	-1117252587436
SPT(16)	2016351926983028521	0 66 78 90 108 148 190 210 238 258 300 340 358 370 382 448	-711568026286
STPT(10)	2016351976045181441	0 2 6 8 18 20 30 32 36 38	-662505873366
SPT(16)	2016352467226227859	0 10 28 54 58 112 114 124 138 148 150 204 208 234 252 262	-171324826948
STPT(10)	2016352852713330137	0 2 30 32 42 44 54 56 84 86	214162275330
SPT(16)	2016353042038951831	0 22 28 40 52 66 150 160 168 178 262 276 288 300 306 328	403487897024
SPT(16)	2016353137705633471	0 16 28 78 112 118 156 166 192 202 240 246 280 330 342 358	499154578664
STPT(10)	2016353470406465219	0 2 72 74 120 122 168 170 240 242	831855410412
STPT(10)	2016354216631187747	0 2 12 14 42 44 72 74 84 86	1578080132940