Prime p₀= 2964866588361128237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 46 2 82 2 46 2 (?)
a_n: 0 2 12 14 24 26 42 44 90 92 174 176 222 224
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: 224
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 10 10 16 46 82 46

SPT(16)	2964865596548052487	0 36 54 72 76 120 142 154 162 174 196 240 244 262 280 316	-991813075750
STPT(10)	2964865990405700201	0 2 6 8 18 20 30 32 36 38	-597955428036
STPT(10)	2964866039469749081	0 2 6 8 18 20 30 32 36 38	-548891379156
STPT(10)	2964866195648314547	0 2 42 44 72 74 102 104 144 146	-392712813690
STPT(10)	2964866261700096671	0 2 30 32 78 80 126 128 156 158	-326661031566
STPT(10)	2964866293599856979	0 2 12 14 90 92 168 170 180 182	-294761271258
SPT(16)	2964866601807189637	0 34 52 70 90 112 120 136 360 376 384 406 426 444 462 496	13446061400
TPT(14)	2964867143353679477	0 2 42 44 90 92 114 116 144 146 210 212 312 314	554992551240
STPT(10)	2964867282763811597	0 2 30 32 42 44 54 56 84 86	694402683360
STPT(10)	2964867410978332001	0 2 6 8 18 20 30 32 36 38	822617203764
SPT(16)	2964867531366617749	0 12 28 42 52 70 130 174 298 342 402 420 430 444 460 472	943005489512