Prime p₀= 2501854566175619087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 58 2 106 2 28 2 22 2 (?)
a_n: 0 2 30 32 42 44 102 104 210 212 240 242 264 266
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: 266
Found by: arkiss
db: batch=82, k=14, 28 10 58 106 28 22

SPT(16)	2501853899945592581	0 6 26 32 42 48 60 68 90 98 110 116 126 132 152 158	-666230026506
SPT(16)	2501853920733132319	0 40 60 132 138 162 168 180 190 202 208 232 238 310 330 370	-645442486768
SPT(16)	2501854217782945591	0 46 66 70 82 100 102 118 150 166 168 186 198 202 222 268	-348392673496
SPT(16)	2501854414382256929	0 78 90 92 114 132 188 242 300 354 410 428 450 452 464 542	-151793362158
SPT(16)	2501854517680512851	0 6 36 68 72 126 128 132 176 180 182 236 240 272 302 308	-48495106236
TPT(14)	2501854540394843087	0 2 42 44 54 56 60 62 150 152 192 194 210 212	-25780776000
SPT(16)	2501855581025770573	0 4 36 64 88 90 114 130 174 190 214 216 240 268 300 304	1014850151486
SPT(16)	2501855903478771823	0 16 34 54 58 84 96 156 208 268 280 306 310 330 348 364	1337303152736
STPT(10)	2501856649623614807	0 2 30 32 42 44 54 56 84 86	2083447995720
STPT(10)	2501856755261923481	0 2 36 38 78 80 120 122 156 158	2189086304394
TPT(14)	2501857581020327921	0 2 30 32 138 140 180 182 198 200 276 278 336 338	3014844708834