Prime p₀= 2999315752837399349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 136 2 40 2 58 2 178 2 (?)
a_n: 0 2 48 50 72 74 210 212 252 254 312 314 492 494
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: 494
Found by: Orange Kid
db: batch=82, k=14, 46 22 136 40 58 178

SPT(16)	2999314853060805941	0 8 12 18 32 90 120 138 182 200 230 288 302 308 312 320	-899776593408
SPT(16)	2999314898347317701	0 8 50 62 90 132 162 170 228 236 266 308 336 348 390 398	-854490081648
STPT(10)	2999315241670166051	0 2 6 8 48 50 90 92 96 98	-511167233298
SPT(16)	2999315406140877569	0 12 14 18 110 152 158 168 254 264 270 312 404 408 410 422	-346696521780
STPT(10)	2999315680719137831	0 2 6 8 18 20 30 32 36 38	-72118261518
STPT(10)	2999315739306000767	0 2 42 44 102 104 162 164 204 206	-13531398582
SPT(16)	2999315795640681059	0 20 32 90 180 242 300 312 338 350 408 470 560 618 630 650	42803281710
SPT(16)	2999316228549646739	0 44 60 62 84 174 180 198 224 242 248 338 360 362 378 422	475712247390
SPT(16)	2999316413807242649	0 2 38 60 72 74 84 150 212 278 288 290 302 324 360 362	660969843300
TPT(14)	2999316461343820817	0 2 84 86 132 134 180 182 192 194 210 212 234 236	708506421468
SPT(18)	2999316523437552173	0 14 44 56 60 74 114 116 140 150 174 176 216 230 234 246 276 290	770600152824