Prime p₀= 2377647239474821889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 46 2 52 2 76 2 166 2 (?)
a_n: 0 2 120 122 150 152 198 200 252 254 330 332 498 500
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: 500
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 118 28 46 52 76 166

SPT(16)	2377645814149074757	0 22 36 60 66 82 112 144 172 204 234 250 256 280 294 316	-1425325747132
STPT(10)	2377645990423220861	0 2 36 38 78 80 120 122 156 158	-1249051601028
STPT(10)	2377646238730459139	0 2 18 20 60 62 102 104 120 122	-1000744362750
STPT(12)	2377646384401519499	0 2 72 74 78 80 162 164 168 170 240 242	-855073302390
STPT(10)	2377646933927667317	0 2 24 26 42 44 60 62 84 86	-305547154572
STPT(10)	2377647197175092651	0 2 6 8 48 50 90 92 96 98	-42299729238
SPT(16)	2377647812129714053	0 28 46 96 108 130 144 196 198 250 264 286 298 348 366 394	572654892164
SPT(16)	2377647875446020403	0 18 28 46 76 94 114 168 286 340 360 378 408 426 436 454	635971198514
SPT(16)	2377648234639785839	0 42 50 110 120 128 158 180 200 222 252 260 270 330 338 380	995164963950
SPT(16)	2377648358605365829	0 22 78 100 102 132 172 202 210 240 280 310 312 334 390 412	1119130543940
SPT(16)	2377648878174366631	0 28 52 70 108 142 252 258 340 346 456 490 528 546 570 598	1638699544742