Prime p₀= 2200808536235736701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 40 2 28 2 16 2 82 2 (?)
a_n: 0 2 30 32 66 68 108 110 138 140 156 158 240 242
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: Orange Kid
db: batch=81, k=14, 28 34 40 28 16 82

STPT(10)	2200806730191644051	0 2 36 38 138 140 240 242 276 278	-1806044092650
STPT(10)	2200806970070830787	0 2 30 32 42 44 54 56 84 86	-1566164905914
SPT(16)	2200807110221582047	0 12 70 72 94 100 120 150 154 184 204 210 232 234 292 304	-1426014154654
STPT(10)	2200807699103906939	0 2 48 50 90 92 132 134 180 182	-837131829762
SPT(16)	2200807973592081401	0 60 86 120 158 188 198 212 216 230 240 270 308 342 368 428	-562643655300
SPT(16)	2200808136991298711	0 8 30 32 86 108 116 122 126 132 140 162 216 218 240 248	-399244437990
STPT(10)	2200809891736895321	0 2 36 38 78 80 120 122 156 158	1355501158620
SPT(16)	2200810333562622559	0 40 72 84 112 120 154 172 180 198 232 240 268 280 312 352	1797326885858
STPT(10)	2200810459196961251	0 2 6 8 48 50 90 92 96 98	1922961224550
SPT(16)	2200810706368665907	0 24 40 54 60 90 124 130 216 222 256 286 292 306 322 346	2170132929206
SPT(16)	2200810881153985349	0 12 62 78 90 110 120 140 210 230 240 260 272 288 338 350	2344918248648