Prime p₀= 1538811528381893609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 46 2 46 2 10 2 (?)
a_n: 0 2 30 32 60 62 132 134 180 182 228 230 240 242
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: 242
Found by: xii5ku
db: batch=78, k=14, 28 28 70 46 46 10

SPT(16)	1538810746930963361	0 18 20 30 32 56 60 78 170 188 192 216 218 228 230 248	-781450930248
SPT(16)	1538810754850715777	0 14 44 54 72 110 120 132 182 194 204 242 260 270 300 314	-773531177832
SPT(16)	1538810911932632419	0 34 54 82 132 144 154 202 210 258 268 280 330 358 378 412	-616449261190
SPT(16)	1538810927800544591	0 26 30 36 68 86 110 140 168 198 222 240 272 278 282 308	-600581349018
SPT(16)	1538811425305808111	0 90 128 170 188 198 272 278 282 288 362 372 390 432 470 560	-103076085498
SPT(16)	1538811488124690061	0 16 66 78 100 106 120 142 156 178 192 198 220 232 282 298	-40257203548
STPT(10)	1538811800373314627	0 2 30 32 42 44 54 56 84 86	271991421018
TPT(14)	1538811830170437239	0 2 30 32 132 134 180 182 198 200 240 242 258 260	301788543630
SPT(20)	1538812158960393017	0 56 84 116 126 134 156 176 204 210 236 242 270 290 312 320 330 362 390 446	630578499408
STPT(10)	1538812650183525317	0 2 12 14 42 44 72 74 84 86	1121801631708
SPT(16)	1538813351361944837	0 26 36 90 92 110 144 156 200 212 246 264 266 320 330 356	1822980051228