Prime p₀= 1337676496683768251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 16 2 10 2 64 2 82 2 4 2 (?)
a_n: 0 2 150 152 168 170 180 182 246 248 330 332 336 338
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: 338
Found by: Theadalus
db: batch=77, k=14, 148 16 10 64 82 4

STPT(10)	1337675849748337007	0 2 30 32 42 44 54 56 84 86	-646935431244
SPT(16)	1337675912014510547	0 6 14 66 96 114 162 164 222 224 272 290 320 372 380 386	-584669257704
STPT(10)	1337675995354388741	0 2 6 8 18 20 30 32 36 38	-501329379510
STPT(10)	1337676073911587321	0 2 6 8 18 20 30 32 36 38	-422772180930
SPT(16)	1337676169311223843	0 24 34 76 90 96 114 154 180 220 238 244 258 300 310 334	-327372544408
SPT(16)	1337676401382206657	0 32 44 84 90 104 122 132 182 192 210 224 230 270 282 314	-95301561594
STPT(10)	1337676628023591137	0 2 42 44 102 104 162 164 204 206	131339822886
SPT(16)	1337677595762945917	0 6 30 72 76 100 112 126 190 204 216 240 244 286 310 316	1099079177666
SPT(16)	1337677928684888233	0 16 24 28 58 66 78 106 108 136 148 156 186 190 198 214	1432001119982
SPT(16)	1337677962872727991	0 22 28 72 82 138 162 180 298 316 340 396 406 450 456 478	1466188959740
STPT(10)	1337678241053939747	0 2 30 32 42 44 54 56 84 86	1744370171496