Prime p₀= 2598545272041420617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 16 2 10 2 148 2 (?)
a_n: 0 2 12 14 54 56 84 86 102 104 114 116 264 266
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: [SG-FC] hl
db: batch=82, k=14, 10 40 28 16 10 148

SPT(16)	2598543505472596573	0 24 28 58 114 150 154 166 168 180 184 220 276 306 310 334	-1766568824044
STPT(10)	2598543542992133489	0 2 18 20 30 32 42 44 60 62	-1729049287128
SPT(16)	2598544459987540231	0 30 46 48 82 96 100 126 142 168 172 186 220 222 238 268	-812053880386
SPT(16)	2598545002870731787	0 4 6 36 60 70 82 94 162 174 186 196 220 250 252 256	-269170688830
SPT(16)	2598545064188807087	0 12 84 110 126 146 162 170 186 194 210 230 246 272 344 356	-207852613530
SPT(16)	2598545257663821773	0 54 104 114 170 180 194 240 290 336 350 360 416 426 476 530	-14377598844
SPT(16)	2598545614239840857	0 26 60 72 74 86 96 120 236 260 270 282 284 296 330 356	342198420240
SPT(16)	2598545972980589207	0 6 44 50 114 116 132 174 242 284 300 302 366 372 410 416	700939168590
SPT(16)	2598546278802700019	0 48 54 68 72 128 140 180 182 222 234 290 294 308 314 362	1006761279402
SPT(16)	2598546293581503457	0 12 40 66 112 150 154 162 184 192 196 234 280 306 334 346	1021540082840
SPT(16)	2598546831534645703	0 6 18 28 34 66 76 106 108 138 148 180 186 196 208 214	1559493225086