Prime p₀= 2326675132056948707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 76 2 52 2 4 2 (?)
a_n: 0 2 12 14 72 74 102 104 180 182 234 236 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 10 58 28 76 52 4

SPT(16)	2326673501196414091	0 18 40 46 52 60 88 96 142 150 178 186 192 198 220 238	-1630860534616
STPT(10)	2326673501514799709	0 2 18 20 30 32 42 44 60 62	-1630542148998
STPT(10)	2326673609508055019	0 2 42 44 60 62 78 80 120 122	-1522548893688
STPT(10)	2326674025546313579	0 2 48 50 90 92 132 134 180 182	-1106510635128
STPT(10)	2326674150278203589	0 2 42 44 90 92 138 140 180 182	-981778745118
SPT(16)	2326674799439776987	0 4 106 120 154 172 196 264 322 390 414 432 466 480 582 586	-332617171720
SPT(16)	2326675325644227787	0 22 36 60 66 106 136 150 166 180 210 250 256 280 294 316	193587279080
STPT(10)	2326675509498518219	0 2 18 20 30 32 42 44 60 62	377441569512
SPT(16)	2326675863005425979	0 24 50 54 78 84 104 110 132 138 158 164 188 192 218 242	730948477272
SPT(16)	2326676399414727463	0 4 88 136 154 246 316 318 466 468 538 630 648 696 780 784	1267357778756
STPT(10)	2326676555917820537	0 2 30 32 72 74 114 116 144 146	1423860871830