Prime p₀= 2334699437891671337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 4 2 22 2 184 2 52 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 300 302 354 356
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: 356
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 22 4 22 184 52

STPT(10)	2334698082388796819	0 2 30 32 60 62 90 92 120 122	-1355502874518
SPT(16)	2334698094424983571	0 16 42 72 96 100 120 130 138 148 168 172 196 226 252 268	-1343466687766
SPT(16)	2334698157687742463	0 24 30 44 56 144 168 200 204 236 260 348 360 374 380 404	-1280203928874
STPT(10)	2334698163676006361	0 2 36 38 78 80 120 122 156 158	-1274215664976
SPT(16)	2334698196124301191	0 6 18 22 30 42 46 48 130 132 136 148 156 160 172 178	-1241767370146
TPT(14)	2334698799343171421	0 2 18 20 30 32 66 68 138 140 186 188 318 320	-638548499916
TPT(14)	2334699903672954341	0 2 18 20 66 68 108 110 168 170 186 188 390 392	465781283004
SPT(16)	2334700007354679383	0 14 56 60 74 80 108 116 138 146 174 180 194 198 240 254	569463008046
SPT(16)	2334700139870949517	0 42 66 106 112 132 154 172 174 192 214 234 240 280 304 346	701979278180
SPT(16)	2334700149063269677	0 22 54 82 96 126 144 154 282 292 310 340 354 382 414 436	711171598340
SPT(16)	2334700556939676949	0 30 52 58 100 108 118 168 262 312 322 330 372 378 400 430	1119048005612