Prime p₀= 2999309039098797587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 106 2 28 2 28 2 40 2 (?)
a_n: 0 2 24 26 54 56 162 164 192 194 222 224 264 266
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, 22 28 106 28 28 40

STPT(10)	2999307798556694921	0 2 6 8 18 20 30 32 36 38	-1240542102666
TPT(16)	2999307804899366531	0 2 30 32 48 50 228 230 240 242 336 338 426 428 438 440	-1234199431056
SPT(16)	2999307946559603137	0 6 12 42 46 64 106 114 172 180 222 240 244 274 280 286	-1092539194450
SPT(16)	2999308246369895081	0 6 20 42 116 146 150 206 252 308 312 342 416 438 452 458	-792728902506
SPT(16)	2999308575449497567	0 6 42 46 90 130 196 202 240 246 312 352 396 400 436 442	-463649300020
SPT(16)	2999308813169796269	0 24 32 80 108 134 140 164 228 252 258 284 312 360 368 392	-225929001318
STPT(10)	2999309337620383967	0 2 12 14 132 134 252 254 264 266	298521586380
SPT(16)	2999309656993477453	0 6 30 40 84 90 114 136 198 220 244 250 294 304 328 334	617894679866
STPT(10)	2999310069284496299	0 2 48 50 90 92 132 134 180 182	1030185698712
TPT(14)	2999310750515472047	0 2 30 32 42 44 90 92 114 116 132 134 144 146	1711416674460
SPT(16)	2999310900308635391	0 26 36 48 68 78 108 110 276 278 308 318 338 350 360 386	1861209837804