Prime p₀= 2080966323499516547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 106 2 10 2 4 2 202 2 (?)
a_n: 0 2 42 44 54 56 162 164 174 176 180 182 384 386
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: 386
Found by: Landjunge
db: batch=80, k=14, 40 10 106 10 4 202

SPT(16)	2080965412179345031	0 40 60 88 90 112 126 138 190 202 216 238 240 268 288 328	-911320171516
STPT(12)	2080965457583782919	0 2 30 32 42 44 78 80 90 92 120 122	-865915733628
STPT(10)	2080965468089594627	0 2 30 32 72 74 114 116 144 146	-855409921920
SPT(16)	2080965985887946771	0 40 42 60 66 70 78 126 172 220 228 232 238 256 258 298	-337611569776
STPT(10)	2080966025217358421	0 2 6 8 18 20 30 32 36 38	-298282158126
STPT(10)	2080966171293695501	0 2 6 8 48 50 90 92 96 98	-152205821046
SPT(16)	2080966685065885121	0 26 36 50 72 98 110 126 152 168 180 206 228 242 252 278	361566368574
SPT(16)	2080966853306261969	0 14 24 38 90 98 102 114 158 170 174 182 234 248 258 272	529806745422
STPT(10)	2080966874492587967	0 2 12 14 42 44 72 74 84 86	550993071420
SPT(16)	2080967135153233471	0 6 18 40 60 78 100 102 226 228 250 268 288 310 322 328	811653716924
SPT(16)	2080967382264961951	0 10 12 40 60 82 126 148 150 172 216 238 258 286 288 298	1058765445404