Prime p₀= 2610415134513072239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 22 2 34 2 22 2 106 2 (?)
a_n: 0 2 90 92 108 110 132 134 168 170 192 194 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 88 16 22 34 22 106

SPT(16)	2610413607061451777	0 24 62 66 84 92 122 152 174 204 234 242 260 264 302 326	-1527451620462
SPT(16)	2610413774111190847	0 10 42 90 114 156 220 274 282 336 400 442 466 514 546 556	-1360401881392
STPT(10)	2610414479556624701	0 2 36 38 78 80 120 122 156 158	-654956447538
STPT(10)	2610414614932853537	0 2 12 14 42 44 72 74 84 86	-519580218702
SPT(16)	2610414670688559989	0 38 48 74 128 134 150 158 174 182 198 204 258 284 294 332	-463824512250
STPT(10)	2610414922831528649	0 2 48 50 90 92 132 134 180 182	-211681543590
SPT(16)	2610415167106970239	0 18 42 52 142 150 240 288 304 352 442 450 540 550 574 592	32593898000
SPT(16)	2610415532089845691	0 28 40 52 66 82 100 102 136 138 156 172 186 198 210 238	397576773452
TPT(14)	2610415577757933719	0 2 12 14 72 74 132 134 198 200 222 224 228 230	443244861480
SPT(16)	2610415643599873919	0 12 18 38 90 98 168 182 270 284 354 362 414 434 440 452	509086801680
SPT(16)	2610415741284927671	0 12 68 72 96 116 128 156 182 210 222 242 266 270 326 338	606771855432