Prime p₀= 2593899014034078599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 46 2 58 2 70 2 166 2 (?)
a_n: 0 2 78 80 162 164 210 212 270 272 342 344 510 512
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: 512
Found by: [SG-FC] hl
db: batch=82, k=14, 76 82 46 58 70 166

STPT(10)	2593898239086703007	0 2 30 32 42 44 54 56 84 86	-774947375592
STPT(10)	2593898369357412317	0 2 30 32 72 74 114 116 144 146	-644676666282
SPT(16)	2593898716537978937	0 2 6 14 20 80 86 96 140 150 156 216 222 230 234 236	-297496099662
SPT(16)	2593898719920037171	0 46 52 82 130 132 136 166 222 252 256 258 306 336 342 388	-294114041428
SPT(16)	2593898734372171229	0 20 80 90 98 134 174 188 234 248 288 324 332 342 402 422	-279661907370
STPT(10)	2593898751617931851	0 2 30 32 120 122 210 212 240 242	-262416146748
SPT(16)	2593899192280886129	0 8 44 54 68 78 80 132 170 222 224 234 248 258 294 302	178246807530
SPT(16)	2593899213535727501	0 32 50 92 98 108 150 158 210 218 260 270 276 318 336 368	199501648902
SPT(16)	2593899242131915987	0 12 16 124 126 136 174 184 192 202 240 250 252 360 364 376	228097837388
SPT(16)	2593899533904320431	0 6 12 40 60 82 88 96 202 210 216 238 258 286 292 298	519870241832
TPT(14)	2593899881579743271	0 2 6 8 36 38 78 80 96 98 108 110 138 140	867545664672