Prime p₀= 2397289072353392207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 88 2 100 2 40 2 16 2 (?)
a_n: 0 2 72 74 90 92 180 182 282 284 324 326 342 344
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: 344
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 70 16 88 100 40 16

SPT(16)	2397288292271835779	0 24 42 92 110 152 174 230 252 308 330 372 390 440 458 482	-780081556428
SPT(16)	2397288681208385201	0 72 98 110 156 168 228 242 276 290 350 362 408 420 446 518	-391145007006
STPT(10)	2397288945969603779	0 2 18 20 30 32 42 44 60 62	-126383788428
SPT(16)	2397289013206966181	0 6 30 32 42 66 72 90 98 116 122 146 156 158 182 188	-59146426026
STPT(10)	2397289033710696449	0 2 18 20 30 32 42 44 60 62	-38642695758
SPT(16)	2397289048453938503	0 8 14 30 56 60 120 140 174 194 254 258 284 300 306 314	-23899453704
STPT(10)	2397289217543357867	0 2 30 32 72 74 114 116 144 146	145189965660
TPT(14)	2397289444511507981	0 2 66 68 78 80 108 110 138 140 180 182 198 200	372158115774
SPT(16)	2397289581354910447	0 36 64 66 84 150 156 160 186 190 196 262 280 282 310 346	509001518240
STPT(10)	2397290428577898101	0 2 78 80 108 110 138 140 216 218	1356224505894
STPT(10)	2397290832102043247	0 2 30 32 42 44 54 56 84 86	1759748651040