Prime p₀= 2348293849437515051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 136 2 40 2 70 2 58 2 76 2 (?)
a_n: 0 2 18 20 156 158 198 200 270 272 330 332 408 410
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: 410
Found by: eiskristall
db: batch=81, k=14, 16 136 40 70 58 76

SPT(16)	2348293137008737231	0 22 42 48 82 88 130 222 286 378 420 426 460 466 486 508	-712428777820
SPT(13)	2348293180458134347	0 6 36 42 72 120 126 132 180 210 216 246 252	-668979380704
STPT(12)	2348293251245183651	0 2 36 38 48 50 78 80 90 92 126 128	-598192331400
STPT(10)	2348293438421813327	0 2 30 32 42 44 54 56 84 86	-411015701724
STPT(12)	2348293651226542247	0 2 42 44 60 62 72 74 90 92 132 134	-198210972804
SPT(16)	2348293728018008783	0 60 80 104 138 140 158 174 200 216 234 236 270 294 314 374	-121419506268
STPT(12)	2348294194097902019	0 2 12 14 30 32 72 74 90 92 102 104	344660386968
SPT(16)	2348294340921687931	0 40 76 82 120 136 160 190 222 252 276 292 330 336 372 412	491484172880
SPT(16)	2348294598856571707	0 16 24 34 66 90 136 150 160 174 220 244 276 286 294 310	749419056656
SPT(16)	2348294934394347157	0 24 30 36 52 66 72 90 136 154 160 174 190 196 202 226	1084956832106
SPT(16)	2348295817386046439	0 98 132 164 168 170 174 200 282 308 312 314 318 350 384 482	1967948531388