Prime p₀= 2708116549710912869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 64 2 28 2 52 2 58 2 (?)
a_n: 0 2 12 14 72 74 138 140 168 170 222 224 282 284
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: suriv
db: batch=82, k=14, 10 58 64 28 52 58

SPT(18)	2708115277023114839	0 20 24 74 84 114 122 168 180 242 254 300 308 338 348 398 402 422	-1272687798030
SPT(16)	2708115848846065681	0 30 52 90 108 132 160 162 226 228 256 280 298 336 358 388	-700864847188
STPT(10)	2708116127509550039	0 2 42 44 60 62 78 80 120 122	-422201362830
SPT(16)	2708116178023170973	0 4 16 34 88 90 108 148 156 196 214 216 270 288 300 304	-371687741896
SPT(16)	2708116403404170739	0 60 142 168 180 198 204 220 282 298 304 322 334 360 442 502	-146306742130
SPT(16)	2708116511489702741	0 18 42 80 96 110 116 126 152 162 168 182 198 236 260 278	-38221210128
STPT(10)	2708116579572377177	0 2 12 14 42 44 72 74 84 86	29861464308
SPT(16)	2708116774504249501	0 30 52 82 108 142 252 288 310 346 456 490 516 546 568 598	224793336632
STPT(10)	2708117117346277001	0 2 30 32 78 80 126 128 156 158	567635364132
STPT(10)	2708117472589881239	0 2 18 20 30 32 42 44 60 62	922878968370
SPT(16)	2708117586214193081	0 8 48 62 90 132 152 158 162 168 188 230 258 272 312 320	1036503280212