Prime p₀= 2566107470958208979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 106 2 58 2 52 2 (?)
a_n: 0 2 18 20 42 44 60 62 168 170 228 230 282 284
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: JayPi
db: batch=82, k=14, 16 22 16 106 58 52

SPT(16)	2566105813407107639	0 30 38 50 72 98 120 140 150 170 192 218 240 252 260 290	-1657551101340
SPT(16)	2566105815053630393	0 20 68 78 96 98 108 140 144 176 186 188 206 216 264 284	-1655904578586
STPT(10)	2566105868285739737	0 2 24 26 42 44 60 62 84 86	-1602672469242
SPT(16)	2566106391962134829	0 14 20 54 68 90 98 114 194 210 218 240 254 288 294 308	-1078996074150
SPT(13)	2566106410521788633	0 30 78 90 114 120 144 168 174 198 210 258 288	-1060436420346
STPT(10)	2566106683855497659	0 2 30 32 60 62 90 92 120 122	-787102711320
SPT(16)	2566107682606730279	0 2 14 44 114 140 162 234 320 392 414 440 510 540 552 554	211648521300
STPT(10)	2566108168333954331	0 2 6 8 48 50 90 92 96 98	697375745352
SPT(16)	2566108540569743329	0 30 40 108 112 114 144 154 198 208 238 240 244 312 322 352	1069611534350
STPT(12)	2566109152108806917	0 2 42 44 54 56 60 62 72 74 114 116	1681150597938
SPT(16)	2566109360925255391	0 30 60 102 166 168 180 210 268 298 310 312 376 418 448 478	1889967046412