Prime p₀= 1554059905320390971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 10 2 58 2 106 2 10 2 (?)
a_n: 0 2 60 62 126 128 138 140 198 200 306 308 318 320
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: 320
Found by: Theadalus
db: batch=78, k=14, 58 64 10 58 106 10

SPT(18)	1554058146322383617	0 2 6 12 14 44 62 90 114 122 146 174 192 222 224 230 234 236	-1758998007354
SPT(16)	1554058201383516193	0 54 184 210 274 276 294 310 330 346 364 366 430 456 586 640	-1703936874778
STPT(10)	1554058871710342139	0 2 18 20 30 32 42 44 60 62	-1033610048832
SPT(16)	1554059267575646651	0 102 108 110 156 210 218 222 266 270 278 332 378 380 386 488	-637744744320
TPT(14)	1554059460905227427	0 2 30 32 54 56 84 86 114 116 180 182 240 242	-444415163544
STPT(10)	1554059868527612231	0 2 30 32 78 80 126 128 156 158	-36792778740
SPT(16)	1554059995515884929	0 28 102 108 172 178 234 238 354 358 414 420 484 490 564 592	90195493958
STPT(10)	1554060183376331471	0 2 36 38 78 80 120 122 156 158	278055940500
STPT(10)	1554060698548322441	0 2 36 38 78 80 120 122 156 158	793227931470
SPT(16)	1554060763320771241	0 12 30 40 106 120 132 156 172 196 208 222 288 298 316 328	858000380270
SPT(16)	1554060828208203323	0 8 24 26 54 56 156 164 240 248 348 350 378 380 396 404	922887812352