Prime p₀= 1126458687065303507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 76 2 28 2 52 2 16 2 (?)
a_n: 0 2 60 62 102 104 180 182 210 212 264 266 282 284
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=76, k=14, 58 40 76 28 52 16

STPT(10)	1126457447886064001	0 2 36 38 78 80 120 122 156 158	-1239179239506
SPT(16)	1126457653500363593	0 24 48 84 114 140 188 194 210 216 264 290 320 356 380 404	-1033564939914
SPT(16)	1126457742323156911	0 10 66 82 106 108 126 178 180 232 250 252 276 292 348 358	-944742146596
STPT(10)	1126458069072448109	0 2 48 50 90 92 132 134 180 182	-617992855398
TPT(14)	1126458248782787951	0 2 18 20 60 62 90 92 156 158 240 242 258 260	-438282515556
TPT(14)	1126458481922274047	0 2 30 32 150 152 204 206 222 224 282 284 294 296	-205143029460
SPT(16)	1126458754850736679	0 28 72 82 114 142 144 154 198 208 210 238 270 280 324 352	67785433172
STPT(10)	1126458888428458139	0 2 42 44 60 62 78 80 120 122	201363154632
STPT(10)	1126459072514935301	0 2 6 8 18 20 30 32 36 38	385449631794
SPT(16)	1126459297600138309	0 22 70 90 118 148 162 178 192 208 222 252 280 300 348 370	610534834802
SPT(18)	1126459544965176013	0 34 64 76 96 118 126 148 160 174 186 208 216 238 258 270 300 334	857899872506