Prime p₀= 1411810626887266349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 76 2 16 2 22 2 28 2 (?)
a_n: 0 2 72 74 132 134 210 212 228 230 252 254 282 284
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: 284
Found by: Theadalus
db: batch=78, k=14, 70 58 76 16 22 28

SPT(16)	1411809775683738451	0 12 16 60 82 96 118 130 138 150 172 186 208 252 256 268	-851203527898
STPT(10)	1411809818595724811	0 2 6 8 48 50 90 92 96 98	-808291541538
SPT(16)	1411809858890713831	0 16 66 90 96 126 136 138 178 180 190 220 226 250 300 316	-767996552518
TPT(14)	1411809888849207059	0 2 120 122 198 200 210 212 240 242 330 332 408 410	-738038059290
STPT(10)	1411809977962151819	0 2 18 20 30 32 42 44 60 62	-648925114530
SPT(16)	1411810424965269817	0 22 54 66 82 90 102 124 132 154 166 174 190 202 234 256	-201921996532
STPT(10)	1411810714265464109	0 2 42 44 60 62 78 80 120 122	87378197760
STPT(10)	1411811207796703319	0 2 48 50 90 92 132 134 180 182	580909436970
SPT(18)	1411811709534414989	0 20 42 54 78 80 110 132 140 342 350 372 402 404 428 440 462 482	1082647148640
SPT(16)	1411812136175440199	0 2 72 78 98 102 104 114 188 198 200 204 224 230 300 302	1509288173850
SPT(16)	1411812189882418123	0 18 24 114 120 154 178 186 238 246 270 304 310 400 406 424	1562995151774