Prime p₀= 2369748663364369829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 28 2 118 2 70 2 4 2 (?)
a_n: 0 2 12 14 150 152 180 182 300 302 372 374 378 380
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: 380
Found by: eiskristall
db: batch=81, k=14, 10 136 28 118 70 4

SPT(16)	2369746784487692803	0 18 30 58 90 96 100 118 138 156 160 166 198 226 238 256	-1878876677026
STPT(10)	2369746860570014699	0 2 12 14 90 92 168 170 180 182	-1802794355130
SPT(16)	2369747440606744817	0 26 72 120 150 156 170 194 222 246 260 266 296 344 390 416	-1222757625012
STPT(10)	2369747923044315017	0 2 12 14 42 44 72 74 84 86	-740320054812
SPT(16)	2369747929359984337	0 16 36 76 106 112 120 160 366 406 414 420 450 490 510 526	-734004385492
STPT(10)	2369748173323820447	0 2 30 32 72 74 114 116 144 146	-490040549382
STPT(10)	2369748740594872277	0 2 90 92 132 134 174 176 264 266	77230502448
SPT(16)	2369749213905659461	0 28 78 82 100 148 156 166 252 262 270 318 336 340 390 418	550541289632
STPT(10)	2369749458638432597	0 2 24 26 42 44 60 62 84 86	795274062768
STPT(10)	2369749638067044419	0 2 18 20 30 32 42 44 60 62	974702674590
SPT(16)	2369749689470358697	0 6 40 60 84 150 186 196 234 244 280 346 370 390 424 430	1026105988868