Prime p₀= 1494519707958313997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 100 2 64 2 22 2 88 2 (?)
a_n: 0 2 30 32 102 104 204 206 270 272 294 296 384 386
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: Theadalus
db: batch=78, k=14, 28 70 100 64 22 88

SPT(16)	1494517531934739443	0 36 48 60 80 84 108 138 146 176 200 204 224 236 248 284	-2176023574554
SPT(16)	1494517919038080197	0 24 42 60 62 66 84 92 174 182 200 204 206 224 242 266	-1788920233800
SPT(16)	1494518333382386423	0 38 104 140 168 264 270 290 294 314 320 416 444 480 546 584	-1374575927574
SPT(16)	1494518657059216109	0 2 32 98 110 114 164 170 222 228 278 282 294 360 390 392	-1050899097888
SPT(16)	1494519007507023061	0 22 40 72 88 106 132 156 172 196 222 240 256 288 306 328	-700451290936
TPT(14)	1494519659982866807	0 2 54 56 90 92 120 122 132 134 174 176 234 236	-47975447190
STPT(10)	1494520559420205521	0 2 120 122 138 140 156 158 276 278	851461891524
SPT(16)	1494520573924872479	0 30 44 98 104 254 294 308 384 398 438 588 594 648 662 692	865966558482
SPT(16)	1494520715507626787	0 60 74 102 116 122 144 162 164 182 204 210 224 252 266 326	1007549312790
SPT(16)	1494520811921960327	0 32 42 50 140 152 162 164 282 284 294 306 396 404 414 446	1103963646330
SPT(16)	1494520986567625529	0 38 144 164 168 170 204 210 242 248 282 284 288 308 414 452	1278609311532