Prime p₀= 816451897912390499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 88 2 100 2 16 2 10 2 (?)
a_n: 0 2 42 44 48 50 138 140 240 242 258 260 270 272
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: 272
Found by: [SG]FX
db: batch=73, k=14, 40 4 88 100 16 10

SPT(16)	816450650502258823	0 6 64 84 100 160 168 190 204 226 234 294 310 330 388 394	-1247410131676
SPT(16)	816451046825810399	0 14 42 44 68 80 90 98 204 212 222 234 258 260 288 302	-851086580100
SPT(16)	816451354731349801	0 6 36 46 52 168 190 220 228 258 280 396 402 412 442 448	-543181040698
SPT(16)	816451485602394617	0 122 126 156 174 206 264 276 380 392 450 482 500 530 534 656	-412309995882
SPT(16)	816451521551750443	0 16 24 60 144 154 186 196 234 244 276 286 370 406 414 430	-376360640056
SPT(16)	816451808117880379	0 4 48 58 60 70 100 102 130 132 162 172 174 184 228 232	-89794510120
STPT(10)	816452317611087887	0 2 30 32 72 74 114 116 144 146	419698697388
SPT(16)	816452519103413993	0 50 54 84 110 120 126 150 164 188 194 204 230 260 264 314	621191023494
SPT(16)	816453275824805237	0 12 24 56 84 86 90 104 132 146 150 152 180 212 224 236	1377912414738
TPT(14)	816453279386377901	0 2 36 38 48 50 228 230 366 368 426 428 450 452	1381473987402
STPT(10)	816453668520699899	0 2 18 20 30 32 42 44 60 62	1770608309400