Prime p₀= 940565967673626251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 238 2 16 2 40 2 40 2 4 2 (?)
a_n: 0 2 138 140 378 380 396 398 438 440 480 482 486 488
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: 488
Found by: paulteo
db: batch=76, k=14, 136 238 16 40 40 4

SPT(16)	940564967007966143	0 8 18 20 48 86 96 116 198 218 228 266 294 296 306 314	-1000665660108
STPT(10)	940565402423123171	0 2 30 32 60 62 90 92 120 122	-565250503080
STPT(10)	940565650080944021	0 2 36 38 78 80 120 122 156 158	-317592682230
TPT(14)	940565715250451831	0 2 36 38 60 62 78 80 90 92 126 128 156 158	-252423174420
TPT(14)	940565881188975827	0 2 84 86 102 104 120 122 294 296 300 302 324 326	-86484650424
STPT(10)	940565916384616139	0 2 48 50 60 62 72 74 120 122	-51289010112
STPT(10)	940566029504614127	0 2 24 26 42 44 60 62 84 86	61830987876
SPT(16)	940566225093637313	0 6 54 56 90 96 120 168 176 224 248 254 288 290 338 344	257420011062
SPT(16)	940566443147663141	0 42 62 66 116 168 218 258 260 300 350 402 452 456 476 518	475474036890
SPT(16)	940566614902949813	0 6 18 86 104 150 176 276 308 408 434 480 498 566 578 584	647229323562
SPT(16)	940567507884213179	0 18 32 50 60 78 90 120 200 230 242 260 270 288 302 320	1540210586928